1. Finding the Slope

2. Slopes are commonly associated with mountains

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

5. Tilt or Inclination

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

7. Graph (3,2) and (-1,-1)

8. Draw a line through the points

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. Find the slope of the following line.

14. The slope is… 1 2

15. Find the slope of the line.

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