2. Graphs of Equations

For each line, (a) find the slope and (b) sketch the graph. See Examples 6 and 7. 5x - 2y = 10

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

In Exercises 59-66,a. Rewrite the given equation in slope-intercept form.b. Give the slope and y-intercept.c. Use the slope and y-intercept to graph the linear function. 4x+y-6=0

For each line described, write an equation in(a)slope-intercept form, if possible, and(b)standard form. through (-2, 4) and (1, 3)

For each line described, write an equation in(a)slope-intercept form, if possible, and(b)standard form. through (2, -10), perpendicular to a line with undefined slope.

For each line described, write an equation in(a)slope-intercept form, if possible, and(b)standard form. through (0, 5), perpendicular to 8x+5y=3

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

Use a graphing calculator to solve each linear equation. 3(2x+1) - 2 (x-2) =5

In Exercises 67–72, use intercepts to graph each equation. 6x-3y+15=0

In Exercises 79–80, find the value of y if the line through the two given points is to have the indicated slope. (3, y) and (1, 4), m = −3

Retaining the Concepts. If f(x) = 4x^2 - 5x - 2, find [f(x + h) - f(x)]/h, h ≠ 0

Exercises 143–145 will help you prepare for the material covered in the next section. If (x1,y1) = (-3, 1) and (x2, y2) = (−2, 4), find (y2-y1)/(x2-x1)

In Exercises 67–72, use intercepts to graph each equation. 6x-9y-18 = 0

Graph each line. Give the domain and range. x = -4

Graph each line. Give the domain and range. -3x + 6 = 0