2. Graphs of Equations

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) = 4x² - 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)

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)? <Image>

A. 0.25, B. 4, C. 2.5/10, D. 25%, E. 1/4, F. 10/2.5, G. 400%, H. 2.5% 

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

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

Find the slope of the line satisfying the given conditions. horizontal, through (5, 1)

For each line described, write an equation in (a) slope-intercept form, if possible, and (b) standard form. through (-7, 4), perpendicular to y = 8

For each line described, write an equation in (a) slope-intercept form, if possible, and (b) standard form. through (3, -5), parallel to y = 4