3.2.2 Slope-Intercept Form - Worksheet

Example 1: Graph each line given the slope and y -intercept. 1. = =− y slope , -intercept 3

1 3

2. slope = 0.5, y -intercept = 3.5

3. slope = 5, y -intercept = − 1

4. slope = − 2, y -intercept = 2

Example 2: Write the equation that describes each line in slope-intercept form. 5. slope = 8, y -intercept = 2 6. = y slope

1 2

, -intercept

6

=−

7. slope = 0, y -intercept = − 3

8. slope = 5, the point (2, 7) is on the line

Example 3: Write each equation in slope-intercept form. Then graph the line described by the equation. 9. = − y x 6 10. 2 x − y = − 1 11. 2 x + y = 4

2 5

Example 4: 12. Helen is in a bicycle race. She has already biked 10 miles and is now biking at a rate of 18 miles per hour. Her distance as a function of time is shown in the graph. a. Write an equation that represents the distance Helen has biked as a function of time.

Distance Biked

48 42 36 30 24 18 12 6

b. Identify the slope and y -intercept and describe their meanings.

Time (h) 0 1 2 3 4

c. How far will Helen have biked after 2 hours?

170

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