Write an equation given the slope and y-interceptEXAMPLE 1

Write an equation of the line shown.

SOLUTION

Write an equation given the slope and y-interceptEXAMPLE 1

From the graph, you can see that the slope is m = and the y-intercept is b = –2. Use slope-intercept form to write an equation of the line.

34

y = mx + b Use slope-intercept form.

y = x + (–2)34

Substitute for m and –2 for b.3

4

y = x (–2)34

Simplify.

GUIDED PRACTICE for Example 1

Write an equation of the line that has the given slope and y-intercept.

1. m = 3, b = 1

y = x + 13

ANSWER

2. m = –2 , b = –4

y = –2x – 4

ANSWER

3. m = – , b =34

72

y = – x +34

72

ANSWER