2. Graphs of Equations

Graph the equation $9x+6y+18=0$ by finding the intercepts.

The graph of a linear function f is shown. (a) Identify the slope, y-intercept, and x-intercept. (b) Write an equation that defines f.

If three distinct points A, B, and C in a plane are such that the slopes of nonvertical line segments AB, AC, and BC are equal, then A, B, and C are collinear. Otherwise, they are not. Use this fact to determine whether the three points given are collinear. (-1, 4), (-2, -1), (1, 14)

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

Use intercepts to graph each equation. 6x-3y+15=0

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

Give the slope and y-intercept of each line whose equation is given. Then graph the linear function. f(x) = (3/4)x-2

Find the average rate of change of the function from x₁ to x₂. f(x) = x² + 2x from x₁ = 3 to x₂ = 5

Graph using intercepts: 2x - 5y - 10 = 0

Write an equation for each line described. Give answers in standard form for Exercises 11–20 and in slope-intercept form (if possible) for Exercises 21–32. through (-5,4), m = -3/2

In Exercises 41–44, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (-3, 2) with slope - 6

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

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

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (2, −3) and perpendicular to the line whose equation is y = (1/5)x + 6

Find the slope of the line satisfying the given conditions. through (2, -1) and (-3, -3)