1. Slope-Intercept Form

2. Objectives Write a linear equation in slope-intercept form.
Graph a line using slope-intercept form.

3. You have seen that you can graph a line if you know two points on the line. Another way is to use the point that contains the y-intercept and the slope of the line.

4. Graph the line given the slope and y-intercept.
Example 1
Graph the line given the slope and y-intercept.
y intercept = 4 y • •

5. Example 2
Graph the line given the slope and y-intercept.
slope = 4; y-intercept =

6. Example 3
Graph the line given the slope and y-intercept.
slope = 2, y-intercept = –3

7. Example 4
Graph each line given the slope and y-intercept.
slope = , y-intercept = 1

8. Any linear equation can be written in slope-intercept form by solving for y and simplifying. In this form, you can immediately see the slope and y-intercept. Also, you can quickly graph a line when the equation is written in slope-intercept form.

9. Example 5
Write the equation that describes the line in slope-intercept form.
slope = ; y-intercept = 4

10. Example 6
Write the equation that describes the line in slope-intercept form.
slope = –9; y-intercept =

11. Example 7
Write the equation that describes the line in slope-intercept form.
slope = 3; y-intercept =

12. Example 8
Write the equation that describes the line in slope-intercept form.
slope = ; y-intercept = –6

13. Example 9
Write the equation that describes the line in slope-intercept form.
slope = 2; (3, 4) is on the line

14. Example 10
A line has a slope of 8 and (3, –1) is on the line. Write the equation that describes this line in slope-intercept form.

15. Example 11
A line has a slope of ½ and (2, 4) is on the line. Write the equation that describes this line in slope-intercept form.

16. Example 12
A line has a slope of -2 and (-2, –5) is on the line. Write the equation that describes this line in slope-intercept form.

17. Example 13
Write the equation in slope-intercept form. Then graph the line described by the equation.
y = 3x – 1

18. Example 14
Write the equation in slope-intercept form. Then graph the line described by the equation.
2y + 3x = 6

19. Example 15
Write the equation in slope-intercept form. Then graph the line described by the equation.

20. Example 15
Write the equation in slope-intercept form. Then graph the line described by the equation.
6x + 2y = 10

21. Example 16
Write the equation in slope-intercept form. Then graph the line described by the equation.
y = –4

22. Homework
Worksheet