2. Graphs of Equations

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

Find the slope and y-intercept of each line, and graph it. x+2y = -4

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

In Exercises 49–58, 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. See Examples 6 and 7. 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.