2. Graphs of Equations

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (-2, 1) and (2, 2)

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of ƒ passes through (−1, 5) and is perpendicular to the line whose equation is x = 6.

Exercises 143–145 will help you prepare for the material covered in the next section. Find the ordered pairs ( ______, 0) and (0, _______) satisfying 4x-3y-6=0.

Graph each linear function. 6x-5f(x) - 20 = 0

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

Give the slope and y-intercept of each line whose equation is given. Then graph the linear function. y = -2x/5+6

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

Graph each equation in a rectangular coordinate system. 3x -18=0

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.

Find the average rate of change of the function from x₁ to x₂. f(x) = 3x from x₁ = 0 to x₂ = 5

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope = 8, passing through (4, −1)

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. 8x – 4y – 12 =0

Find the slope of each line, provided that it has a slope. through (5, 6) and (5, -2)

Which of the following graphs below represents the equation $x=3$?

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)