Exam 2: Graphs, Equations of Lines, and Functions

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Graph a linear equation using the slope and Graph a linear equation using the slope and   -intercept.  -intercept. Graph a linear equation using the slope and   -intercept.

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Graph the linear equation. Graph the linear equation.

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The grade of a highway up a hill is 72%. How much change in horizontal distance is there if the vertical height of the hill is 200 feet? Express the answer to the nearest foot.

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Draw the graph using a translation of the graph of Draw the graph using a translation of the graph of   .  . Draw the graph using a translation of the graph of   .

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Determine the domain of the given function. Determine the domain of the given function.

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For the following pair of equations, predict whether they represent parallel lines, perpendicular lines, or lines that intersect but are not perpendicular. 8.4 x + 8.1 y = 8.7 and 8.1 x - 8.4 y = 2.1

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Find the slope of the line determined by the equation. Find the slope of the line determined by the equation.

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Tell whether the slope of the line in the graph is positive , negative , zero , or undefined . Tell whether the slope of the line in the graph is positive , negative , zero , or undefined .

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Graph the linear equation. Graph the linear equation.

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Graph the function and find its domain and range. f ( x ) = | x | - 2

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Function of the graph. Function of the graph.

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Draw the graph using a translation of the graph of Draw the graph using a translation of the graph of   .  . Draw the graph using a translation of the graph of   .

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If you have the following function f ( x ) = 5 x + 6, compute f (5), f (-5), f (9), f (-9).

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Find the midpoint of the segment PQ . Find the midpoint of the segment PQ .

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Tell whether the slope of the line in the graph is positive , negative , zero , or undefined . Tell whether the slope of the line in the graph is positive , negative , zero , or undefined .

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If the rise of the roof shown in the illustration is 5 feet, and the run is 9 feet, find the pitch of the roof. If the rise of the roof shown in the illustration is 5 feet, and the run is 9 feet, find the pitch of the roof.

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In the problem described below, assume that the relationship can be expressed as a linear equation in two variables, and use the given information to determine the equation. Express the equation in slope-intercept form. A new diet fad claims that a person weighing 150 pounds should consume 1,440 daily calories and that a 210-pound person should consume 1,600 calories. Let y represent the calories and x the weight of the person in pounds.

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Determine the domain of the given function. Determine the domain of the given function.

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The cost ( c ) of playing an online computer game for a time ( t ) in hours is given by the equation c = 3 t + 5. Label the horizontal axis t and the vertical axis c , and graph the equation for nonnegative values of t .

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Use the point-slope form to write an equation of the line with the slope Use the point-slope form to write an equation of the line with the slope   5 and that passes through the point (   4, 7). Then write your result in slope-intercept form. 5 and that passes through the point ( Use the point-slope form to write an equation of the line with the slope   5 and that passes through the point (   4, 7). Then write your result in slope-intercept form. 4, 7). Then write your result in slope-intercept form.

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