2. Graphs of Equations

Graph the line satisfying the given conditions.through (0, 5), m= -2/3

Graph the line passing through the given point and having the indicated slope. Plot twopoints on the line. See Example 7. through (3, -4), m = - 1/3

Graph the line passing through the given point and having the indicated slope. Plot twopoints on the line. See Example 7. through ( - 1/2 , 4), m = 0

Graph the line passing through the given point and having the indicated slope. Plot twopoints on the line. See Example 7. through (9/4 , 2), undefined slope

Graph the line passing through the given point and having the indicated slope. Plot twopoints on the line. See Example 7. through (- 5/2 , 3), undefined slope

Find and interpret the average rate of change illustrated in each graph.

In Exercises 49–58, graph each equation in a rectangular coordinate system. 3x -18=0

Write an equation in point-slope form and slope-intercept form of the line passing through (-10,3) and (-2,-5).

Find the average rate of change of f(x) = x^2 - 4x from x_1 = 5 to x_2 = 9.

In Exercises 46–49, give the slope and y-intercept of each line whose equation is given. Then graph the line. y = (2/5)x - 1

Fill in the blank(s) to correctly complete each sentence. The graph of the line y= -2x+7 has slope ______ and y-intercept ______.

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (1, 6), perpendicular to 3x+5y=1

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (-2, -2), parallel to y=3

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (4, 1), parallel to y=-5

Solve each problem. A graph of y=ƒ(x) is shown in the standard viewing window. Which is the only value of x that could possibly be the solution of the equation ƒ(x) =0?A. -15 B. 0 C. 5 D. 15