2. Graphs of Equations

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

Graph each line. Give the domain and range. -x + 5 = 0

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

Match each equation with the sketch that most closely resembles its graph. x = 5

If a walkway rises 2.5 ft for every 10 ft on the horizontal, which of the following express its slope (or grade)? (There are several correct choices.)

Find the slope of the line satisfying the given conditions. See Example 5. through (-3, 4) and (2, -8)

Find the slope of the line satisfying the given conditions. See Example 5. through (5, 9) and (-2, 9)