1. Ch 4.1 Slope (rise/run) Objective: To find the slope of a line when given a graph.

2. Key concepts: 1.Finding the slope using rise/run 2.Evaluating a ZERO slope 3.Evaluating an UNDEFINED slope

3. Definition Slope (m): rise/run When observing a graph, choose two points and count how many units up (rise) and how many units to the right (run) they are apart from each other. “Up” translates to positive units, “down” translates to negative units (in numerator) “Right” translates to positive units, “Left” translates to negative units (in denominator) Use when given a graph

4. x y Slope of a line Slope (m) = vertical change horizontal change rise run = = y x Slope (m) = +2+2 +1+1 +2+2 +1+1 m = 2 -2-2 -4-4 -4-4 -2-2 = Choose any two points – the slope is the same!

5. Example 1Example 2 Slope (m) = +1+1 +3+3 = +1+1 +3+3 1 3 = −1−1 +3+3 = −1−1 +3+3 3

6. Example 3Example 4 Slope (m) = +3+3 +2+2 = +3+3 +2+2 3 2 = −4−4 +3+3 = −4−4 +3+3 -4 3

7. Zero SlopeUndefined Slope slope = 0slope = undefined Horizontal LineVertical Line Slope (m) = 0 +4+4 = +4+4 0 +2+2 = +2+2 0 = und Tricky Ones!

8. Classwork Find the slope of the line 1) 2)

9. 3) 4) Classwork Find the slope of the line

10. 5) 6) Classwork Find the slope of the line

11. Homework Find the slope of the line 1) 2) x y y x

12. 3) 4) Homework Find the slope of the line x y y x

13. 5) 6) Homework Find the slope of the line x y y x

14. 7) 8) Homework Find the slope of the line x y y x

15. 9)10) Homework Find the slope of the line x y y x

16. 11)12) Homework Find the slope of the line x y y x