Algebra for College Students (10th Edition)

Chapter 7

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value valueOrdered pair0122 ; Substitute 1 and   ... more

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Consider and 1 for in the given equation. ; ... more

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Consider and 1 for in the given equation. ; ... more

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Consider and 1 for in the given equation. ; ... more

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Draw the graph for the given equation. ; more

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Draw the graph for the given equation. ; more

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Draw the graph for the given equation. ; more

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Write the given equation with the standard form of... more

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Draw the graph for the given function. ; From the ... more

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Draw the graph for the given function. ; From the ... more

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Yes, the graph of every linear equation has ... more

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, ; Consider 2 for from the order of pair in the... more

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, ; Consider 2 for from the order of pair in the... more

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, ; Consider for from the order of pair in the ... more

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 , and ; Consider 3 for from the order of pair ... more

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-2-104543-1 ; Consider for   in the given ... more

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-2-104543-1 ; Consider for   in the given ... more

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-2024-10-6-22 ; Consider for   in the given ... more

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-3023024 ; Consider for   in the given equation... more

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To calculate the -intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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To calculate the intercept substitute 0 for in ... more

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Consider some arbitrary values of such as , 1 and... more

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The standard form of linear equation is , where... more

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The standard form of linear equation is , where... more

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The given equation is in the form , where is 2, ... more

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The given equation is in the form , where is 3, ... more

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The given equation can be written in standard form... more

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The given equation can be written in standard form... more

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The given equation can be written in standard form... more

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The given equation can be written in standard form... more

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The given equation can be written in standard form... more

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The given equation can be written in standard form... more

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Substitute 1 for in the given equation to obtain ... more

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Substitute 1 for in the given equation to obtain ... more

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Substitute 1 for in the given equation and ... more

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Substitute 10 for in the given equation and ... more

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A linear equation represents a straight line ... more

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The first equation is a linear multiple of the ... more

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The point is the graph of the given conjunction ... more

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The equation represents a vertical line passing ... more

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The corresponding equations of the given absolute ... more

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The absolute value equation is equivalent to the ... more

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The absolute value equation is equivalent to the ... more

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The absolute value equation is equivalent to the ... more

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The values of are obtained as the same that is ... more

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Graph the line as a dashed line because the ... more

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Obtain the graph of the equation .Obtain the ... more

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Substitute and in the given inequality and ... more

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To obtain the graph of inequality or , a dashed ... more

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To graph an inequality, , , or , the line is ... more

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Substitute and in the given inequality and ... more

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Substitute and in the given inequality and ... more

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The line is the -axis. So, the graph of the given... more

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The line is the -axis. So, the graph of the given... more

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Obtain and intercepts to obtain the graph of the... more

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To obtain the graph of the inequality, , use the ... more

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To obtain the graph of the inequality, , use the ... more

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Obtain the graph of the equation .Obtain the ... more

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Obtain the graph of the related equation of the ... more

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Obtain the graph of the equation .Substitute as 0... more

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Obtain the graph of the equation .Substitute as 0... more

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Obtain the graph of the equation .Substitute as 0... more

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Obtain the graph of the line .Substitute as 0 in ... more

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Obtain the graph of the line .Substitute as 0 in ... more

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Obtain the graph of the line .Substitute as 0 in ... more

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Obtain the graph of the line .Substitute as 0 in ... more

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Obtain the graph of the line .Substitute as 0 in ... more

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Obtain the graph of the line .Substitute as 0 in ... more

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Obtain the graph of the line .Substitute as 0 in ... more

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Obtain the graph of the line .Substitute as 0 in ... more

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Obtain the graph of the line .Substitute as 0 in ... more

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Obtain the graph of .Form a table with values of ... more

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Obtain the graph of .Form a table with values of ... more

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Write the given function in the form .Add on both... more

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Write the given function in the form .Add on both... more

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Obtain the graph of the equation , that is .... more

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Obtain the graph of the equation , that is .Obtain... more

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Obtain the graph of the line .Substitute as 0 in ... more

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Obtain the graph of the equation .Substitute as ... more

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Obtain the graph of the equation .Substitute as 0... more

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Obtain  graph of the equation .Substitute as 0 in... more

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Obtain the graph of the function .The function is... more

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Obtain the graph of the function .The function is... more

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Obtain the graph of the function .The function is... more

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Obtain the graph of the function .The function is... more

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The given point lies on the line , therefore it is... more

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First, obtain the graph of the related equation of... more

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The inequality is defined as .So equals First ... more

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 The solutions of the inequality includes or . ... more

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The inequality is defined as . So, the inequality... more

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, ; Plot the given points and obtain line segment ... more

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; Plot the given points and obtain the line ... more

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; The distance between two points and is ... more

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An isosceles triangle is a triangle whose sides ... more

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The slope is defined as the ratio of vertical ... more

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The slope is defined as the ratio of vertical ... more

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; Consider the vertical distance to be and the ... more

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In distance formula for two points and , ... more

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An isosceles triangle is a triangle which has two ... more

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The distance between two points and is ... more

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The distance between two points and is ... more

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The slope of a line with points and is ... more

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The slope of a line can be either positive or ... more

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The slope of a line with points and is ... more

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The slope of a line with points and is ... more

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Interchanging two points and will give the slope... more

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Consider to be the rise and be the run.Ratio of ... more

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15 ; The distance between two points and is ... more

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; The distance between two points and is given ... more

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; The distance between two points and is given ... more

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; The distance between two points and is given ... more

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; The distance between two points and is given ... more

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; The distance between two points and is given ... more

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; The distance between two points and is given ... more

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; The distance between two points and is given ... more

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6 ; The distance between two points and is given... more

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10 ; The distance between two points and is ... more

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; The distance between two points and is given ... more

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; The distance between two points and is given ... more

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The Pythagoras theorem states that for a right ... more

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An isosceles triangle is a triangle whose sides ... more

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If two points divide a line segment into three ... more

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If a point divides a line segment into 2 equal ... more

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; Plot the given points on the graph and join ... more

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; Plot the given points on the graph and join ... more

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; Plot the given points on the graph and join ... more

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; Plot the given points on the graph and join ... more

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; Plot the given points on the graph and join ... more

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; Plot the given points on the graph and join ... more

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; Plot the given points on the graph and join ... more

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Slope: 0 ; Plot the given points on the graph and ... more

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Slope: 0 ; Plot the given points on the graph and ... more

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; Plot the given points on the graph and join ... more

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; The formula to obtain the slope of a line ... more

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; The formula to obtain the slope of a line ... more

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7 ; The formula to obtain the slope of a line ... more

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; The formula to obtain the slope of a line ... more

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; The formula to obtain the slope of a line ... more

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9 ; The formula to obtain the slope of a line ... more

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, , ; The equation of a line is , where is the ... more

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, , . ; The equation of a line is , where is the ... more

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, , .  ; The equation of a line is , where is the... more

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, , .  ; The equation of a line is , where is the... more

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, and ; The equation of a line is , where is the... more

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, , . ; The equation of a line is , where is the ... more

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, , .  ; The equation of a line is , where is the... more

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, , ; The equation of a line is , where is the ... more

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; Subtract from both sides of the given equation... more

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; Subtract from both sides of the given equation... more

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; Add on both sides of the given equation to ... more

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3. ; Subtract from both sides of the given ... more

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. ; Subtract from both sides of the given ... more

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; Subtract from both sides of the given equation... more

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0 ; The coordinate is given as 4, the coordinate... more

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; The coordinate is given as 3, the coordinate ... more

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; Substitute 0 for in the given equation to ... more

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6 ; Add on both sides of the given equation to ... more

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The equation of a line is , where is the slope ... more

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The equation of a line is , where is the slope ... more

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The equation of a line is , where is the slope ... more

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The equation of a line is , where is the slope ... more

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The equation of a line is , where is the slope ... more

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The equation of a line is , where is the slope ... more

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The equation of a line is , where is the slope ... more

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The equation of a line is , where is the slope ... more

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; The formula to obtain the slope is , where is ... more

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; The formula to obtain the slope is , where is ... more

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; The formula to obtain the slope is , where is ... more

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; The formula to obtain the slope is , where is ... more

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; The formula to obtain the slope is , where is ... more

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; The formula to obtain the slope is , where is ... more

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Slope is formed by the ratio of vertical ... more

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is steeper. ; Slope is formed by the ratio of ... more

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The first point is on the line but the second ... more

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; The slope of a line is the ratio of the ... more

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; Plot both the given points and then plot the ... more

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; If the -intercept of a line is then it is ... more

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; The point-slope form of the equation of a line ... more

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; The slope-intercept form of the equation of a ... more

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; The slope-intercept form of the equation of a ... more

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The slope-intercept form of the equation of a line... more

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; The slope-intercept form of the equation of a ... more

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; The slope-intercept form of the equation of a ... more

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The rule of the slope of parallel lines states ... more

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The rule of the slopes of perpendicular lines ... more

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The standard form of the equation of a line is ... more

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The slope-intercept form of the equation of a line... more

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The slope-intercept form of the equation of a line... more

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The slope-intercept form of the equation of a line... more

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The rule of the slope for vertical lines states ... more

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The rule of the slope for vertical lines states ... more

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The slope-intercept form of the equation of a line... more

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The slope-intercept form of the equation of a line... more

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; The slope of a line is the ratio of the ... more

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; The slope of a line is the ratio of the ... more

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; The slope of a line is the ratio of the ... more

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; The slope of a line is the ratio of the ... more

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; The slope of a line is the ratio of the ... more

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; The slope of a line is the ratio of the ... more

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; The slope of a line is the ratio of the ... more

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; The slope of a line is the ratio of the ... more

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; The slope of a line is the ratio of the ... more

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; The equation of a straight line which is ... more

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; The equation of a straight line which is ... more

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; The equation of a straight line which is ... more

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; The equation of a straight line which is ... more

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; The equation of a straight line which is ... more

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; The equation of a straight line passing through... more

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; The equation of a straight line passing through... more

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; The equation of a straight line passing through... more

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; The equation of a straight line passing through... more

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; The equation of a straight line passing through... more

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; The equation of a straight line passing through... more

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; The equation of a straight line passing through... more

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; The equation of a straight line passing through... more

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; The equation of a straight line passing through... more

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; The equation of a straight line passing through... more

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; The equation of slope-intercept form of a ... more

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; The equation of slope-intercept form of a ... more

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; The equation of slope-intercept form of a ... more

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; The equation of slope-intercept form of a ... more

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; The equation of slope-intercept form of a ... more

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; The equation of slope-intercept form of a ... more

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; The equation of slope-intercept form of a ... more

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; The equation of slope-intercept form of a ... more

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; The equation of a straight line which intersect... more

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; The equation of a straight line which intersect... more

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; The -intercept of the given straight line is i... more

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; The -intercept of the given straight line is 5 ... more

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; The equation of -axis is .So, the equation of a... more

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; The equation of -axis is .So, the equation of a... more

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; The equation of -axis is .The  straight line ... more

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; The equation of -axis is .The  straight line ... more

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; Express the given equation as slope intercept ... more

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; Express the given equation as slope intercept ... more

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; Express the given equation as slope intercept ... more

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; Express the given equation as slope intercept ... more

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; Express the given equation as slope intercept ... more

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; Express the given equation as slope intercept ... more

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; Express the given equation as slope intercept ... more

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; The slope of the given straight line is .The ... more

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; ; The slope intercept form of a straight line is... more

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; ; The slope intercept form of a straight line is... more

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; ; Use the additional property of equality to ... more

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; ; Use the additional property of equality to ... more

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; ; Use the additional property of equality to ... more

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; ; Use the additional property of equality to ... more

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The slope of the given equation is and the y-... more

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The slope of the given equation is and the y-... more

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The slope of the given equation is 2 and the y-... more

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The slope of the given equation is 3 and the y-... more

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The slope of the given equation is and the y-... more

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The slope intercept form of a line is represented ... more

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The slope intercept form of a line is represented ... more

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The slope intercept form of a line is represented ... more

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The slope intercept form of a line is represented ... more

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The slope intercept form of a line is represented ... more

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Substitute 0 for in the given expression to ... more

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Substitute 0 for in the given equation to obtain... more

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Substitute 0 for in the given equation to obtain... more

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Substitute 0 for in the given equation to obtain ... more

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Substitute 0 for in the given equation to obtain ... more

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Plot the point on the graph and extend a straight... more

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Plot the point on the graph and extend a vertical... more

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Plot the point on the graph and draw a straight ... more

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; The equation of a line is given by Substitute ... more

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; The equation of a line is given by . Substitute... more

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; The equation of a line is given by . Substitute... more

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; The equation of a line is given by . Substitute... more

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; The equation of a line is given by Substitute ... more

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; The equation of a line is given by Substitute ... more

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Two points define the equivalence class of the ... more

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The product of the slopes of two perpendicular ... more

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Compare the given equation with the slope ... more

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Substitute 0,1 and for in the given equation to ... more

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Substitute 1 , 2, and for to obtain the ... more

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Substitute 1, , 2, for in the given equation to ... more

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Divide the given equation by to obtain . Plot the... more

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Substitute the values of as , 0,1 and 2 in the ... more

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Multiply both sides of the given equation by 2 and... more

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An equation of the form is called a linear ... more

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The graph of any equation is said to be symmetric ... more

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The graph of any equation is said to be symmetric ... more

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If the graph is symmetric about the -axis then -... more

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If the graph of an equation is symmetric about the... more

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The graph of an equation is said to be symmetric ... more

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The graph of an equation is said to be symmetric ... more

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The graph of an equation is said to be symmetric ... more

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The graph of an equation is said to be symmetric ... more

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The graph of an equation is said to be symmetric ... more

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-axis ; The graph of an equation is said to be ... more

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-axis ; The graph of an equation is said to be ... more

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axis ; The graph of an equation is said to be ... more

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axis ; The graph of an equation is said to be ... more

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origin ; The graph of an equation is said to be ... more

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axis, axis and origin ; The graph of an equation ... more

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axis, axis and origin ; The graph of an equation ... more

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axis ; The graph of an equation is said to be ... more

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None ; The graph of an equation is said to be ... more

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None ; The graph of an equation is said to be ... more

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origin ; The graph of an equation is said to be ... more

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Origin. ; The graph of an equation is said to be ... more

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axis. ; The graph of an equation is said to be ... more

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axis ; The graph of an equation is said to be ... more

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axis , axis and origin ; The graph of an equation... more

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axis , axis and origin ; The graph of an equation... more

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axis ; The graph of an equation is said to be ... more

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axis ; The graph of an equation is said to be ... more

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axis ; The graph of an equation is said to be ... more

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axis ; The graph of an equation is said to be ... more

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Substitute the values of as , , 0 and 1 in the ... more

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Substitute the values of as 0, 1, 2 and 4 in the ... more

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Substitute the values of as 0, 1, 2 and 3 in the ... more

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The graph of the linear function is obtained with... more

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The graph of the linear function is obtained with... more

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The graph of the linear function is obtained with... more

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The graph of the linear function is obtained with... more

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The graph of the linear function is obtained with... more

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The graph of the linear function is a straight ... more

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The graph of the linear function is a straight ... more

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The graph of the linear function is obtained with... more

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The graph of the linear function is obtained with... more

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The graph of the linear function is obtained with... more

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The graph of the linear function is obtained with... more

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Substitute the values of as , , 0, 1 and 2 ... more

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Substitute the values of as , , 0, 1 and 2 ... more

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Substitute the values of as , , 0, 1 and 2 ... more

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Substitute the values of as , , 0, 1 and 2 ... more

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Substitute the values of as , , 1 and 2 ... more

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Substitute the values of as , , 1 and 2 ... more

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Substitute the values of as , , 0, 1 and 2 ... more

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Substitute the values of as , , 0, 1 and 2 ... more

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Rewrite the given function as to obtain the ... more

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Rewrite the given function as to obtain the ... more

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Solve the given equation for to write the ... more

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Substitute the values of as , , 1 and 2 ... more

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Substitute the values of as , 0 and 1 separately ... more

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Substitute the values of as , 0 and 1 separately ... more

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Substitute the values of as , 0 and 1 separately ... more

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Substitute the values of as , 0 and 1 separately ... more

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Substitute the values of as , 0 and 1 separately ... more

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Substitute the values of as , , 1 and 2 ... more

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Substitute the values of as , , 1 and 2 ... more

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Substitute the values of as , 0 and 1 separately ... more

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The different values of give different values of... more

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The graph of will be a vertical line that passes ... more

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The graph is symmetric about both the axes, ... more

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The graph is symmetric about origin, therefore, ... more

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The graph is stretched vertically. ; Use the ... more

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The graphs are reflections of each other across ... more

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The graphs are reflections of each other across ... more

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; Substitute 2 for in the given equation to ... more

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Substitute , 0 and 2 separately for in the given ... more

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The linear equation is represented by the equation... more

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The graph of the equation of the form , where is ... more

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Replace the inequality sign by the equal to sign ... more

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; The formula to calculate the distance between ... more

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; The formula to calculate the slope of the line... more

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Locate the given point on the graph and move 3 ... more

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30 feet ; The slope of the wheelchair ramp is .The... more

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; ; Add to both sides of the given equation.... more

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; The equation of a straight line is given by ... more

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; The slope between the two points is given by ... more

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; The slope-intercept form of a straight line is ... more

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symmetric with respect to -axis ; The graph of an ... more

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The graph of an equation is symmetric with respect... more

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; Substitute 1 for and 2 for in the given ... more

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; Substitute for and 1 for in the given ... more

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; Substitute 2 for and 3 for in the given ... more

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  ; Substitute 0 for and for in the given ... more

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0143 ; Substitute , 0, 1 and 4 separately for in ... more

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0251; ; Substitute , , 0 and 2 separately for in ... more

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02414; ; Substitute , 0, 2, and 4 separately for ... more

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031; ; Add to both sides of the given equation.... more

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The graph of an equation of the type is a ... more

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The graph of an equation of the type is a ... more

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The graph of an equation of the type is a ... more

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The graph of an equation of the type is a ... more

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The graph of an equation of the type is a ... more

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The graph of an equation of the type is a ... more

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The graph of an equation of the type is a ... more

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The graph of an equation of the type is a ... more

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The graph of an equation of the type is a ... more

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The graph of an equation of the type is a ... more

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Since the given equation contains all the points ... more

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Since the given equation contains all the points ... more

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The graph of an equation of the type , where is a... more

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The graph of an equation of the type , where is a... more

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Since the given equation contains all the points ... more

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Since the given equation contains all the points ... more

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The graph of an equation of the type , where is a... more

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The graph of an equation of the type , where is a... more

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Since the given equation contains all the points ... more

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Since the given equation contains all the points ... more

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Replace the inequality sign in the given ... more

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; Divide both sides of the given equation of the ... more

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Origin symmetry ; If substitution of for in the ... more

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-axis, -axis and origin symmetry ; If substitution... more

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-axis symmetry ; If substitution of for in the ... more

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; The standard equation of the straight line is... more

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; The intercept is the value of coordinate, ... more

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; grade means the highway has a slope of 0.25.... more

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Substitute 0 for in the given equation and ... more

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Substitute 0 for in the given equation and ... more

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The given equation is similar to the equation of a... more

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The given equation is similar to the equation of a... more

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The given equation is similar to the equation of a... more

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Consider some arbitrary values of such as , 1 and... more

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