1. Finding The Slope of a Line

3. The slope we are studying is associated with the graph of a line.

4. Definitions of Slope The tilt or inclination of a line
The ratio of vertical change to horizontal change.
The change in y over the change in x
Allow students time to copy
May need to review that a ratio is a comparison of numbers

5. Tilt or Inclination Discuss positive and negative slope.
Discuss when slope equals 0 and is undefined.

6. Vertical Change Horizontal Change
This ratio is also known as
Rise
Run

7. Example 1: Plot your points
Remember to click to make each part appear

8. Draw a line through the points.
Line will appear automatically

9. Now that we have our line lets find its slope.
Remember we are finding the following ratio:
Vertical or Rise
Horizontal Run

10. Vertical Change or the Rise3
Discuss vertical change

11. Horizontal Change or the Run4 3
Discuss horizontal change

12. Vertical Rise Horizontal Run3 4
May need to remind students that a ratio is a comparison of two numbers

13. Example 2: Find the Slope

14. The slope is… 1 2

15. Example 3: Find the Slope

16. The slope is…. -3
Discuss why the slope is negative and that –3/1 reduces to –3.

17. Find the slope of these lines.
Have students practice.

18. The slope is…
Black line 3
Red Line 1
Blue Line -1/2

19. Find the slope of this line

20. The slope is…
Orange line 0

21. Practice Time!