1. Warm-Up

2. Slope Slope Objectives: Define slope as the ratio of vertical rise to horizontal run. Determine the slope of a line given a graph. Determine the slope of a line given two points on the line. State the formula for slope as slope equation

3. Slope -4 -2 2 42 68 10 4 6 -4 -6 -8 -2 -10 10 8 rise run Slope =

4. Example 1 Graph the line containing points (2,1) and (7,6) and find the slope. -4 -2 2 42 68 10 4 6 -4 -6 -8 -2 -10 10 8 rise run Slope =

5. Practice 1) (-2,3) (3,5) Graph the line containing these points and find their slopes. 2) (0,-3) (-3,2)

6. Slope Slope = or

7. Example 2 Find the slope of the line containing points (1,6) and (5,4).

8. Practice 1) (2,2) (8,9) Find the slope of the lines containing these points. 2) (-2,3) (2,1) 3) (5,-11) (-9,4)

9. Slope of a Horizontal Line -4 -2 2 42 68 10 4 6 -4 -6 -8 -2 -10 10 8 What about the slope of a horizontal line? What is the rise? What is the run? 0 6 Slope = The slope of ANY horizontal line is 0.

10. Slope of a Vertical Line -4 -2 2 42 68 10 4 6 -4 -6 -8 -2 -10 10 8 What about the slope of a vertical line? What is the rise? What is the run? 5 0 Slope = The slope of ANY vertical line is undefined.

11. Example 1 -4 -2 2 42 68 10 4 6 -4 -6 -8 -2 -10 10 8 Find the slope of the line y = -4. Slope =

12. Example 2 -4 -2 2 42 68 10 4 6 -4 -6 -8 -2 -10 10 8 Find the slope of the line x = 7. Slope = The line has no slope.

13. Practice 1) (9,7) (3,7) Find the slopes, if they exist, of the lines containing these points. 2) (4,-6) (4,0) 3) (2,4) (-1,5)

14. Homework Worksheet on Slope