1. Introduction To Slope

2. Slope is a measure of Steepness.

3. Types of Slope Positive Negative Zero Undefined or No Slope

4. Slope is sometimes referred to as the “rate of change” between 2 points.

5. If given 2 points on a line, you may find the slope using the formula m = y 2 – y 1 x 2 – x 1

6. The formula may sometimes be written as m =∆y. ∆x What is ∆ ?

7. Find the slope of the line through the points (3,7) and (5, 19). x1x1 y1y1 x2x2 y2y2 m = 19 – 7 5 – 3 m = 12 2 m = 6

8. (3, 4) and (-6, -2) m = -2 – 4 -6 – 3 m = -6 -9 m = ⅔

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

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

11. Draw a line through the points.

12. Now that we have our line lets find its slope. Remember we are finding the following ratio: Vertical orRise HorizontalRun

13. Vertical Change or the Rise 3

14. Horizontal Change or the Run 4 3

15. Find the slope of the following line.

16. The slope is… 1 2

17. Find the slope of the line.

18. The slope is…. -3