2. Graphs of Equations

In Exercises 46–49, give the slope and y-intercept of each line whose equation is given. Then graph the line. 2x + 3y + 6 = 0

Graph each equation in a rectangular coordinate system. y = -2

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.

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

Find the slope of each line, provided that it has a slope. through (0, -7) and (3, -7)

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (-1, 4), parallel to x+3y=5

For each line, (a) find the slope and (b) sketch the graph. 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

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