The document provides examples of calculating slope from graphs and points. It defines slope as "rise over run" and discusses identifying lines with positive, negative, or zero slopes from graphs. Several examples are given of calculating the slope of lines from their graphs or from two points on each line. Slopes are calculated using the formula: Slope = (y2 - y1) / (x2 - x1).

1. 5.2 Defining Slope Student Study Guide

2. Examine the graphs below. Which lines have a positive slope? Negative slope? Zero or undefined? Negative Slope Zero Slope

3. Examine the graphs below. Which lines have a positive slope? Negative slope? Zero or undefined? Positive Slope 3. 4. Zero Slope

4. Slope = m = Rise Run

5. Use the graph to find the slope of each line. 5. AB 4 2 Slope 4 = 2 2 7. EF Slope Zero

6. Use the graph to find the slope of each line. 9. IJ -5 2 Slope -5 2 11. MN Undefined

7. Find the slope of each line. 13. Rise: -5; Run: -5 -5 = -5 15. Rise: -3; Run: 4 -3 4 1

8. Slope = y 2 - y 1 x 2 - x 1

9. Find the slope of the line containing each pair of points. 17. A (3, 9), B(1, 5) Slope = y 2 - y 1 x 2 - x 1 x 1, y 1 x 2, y 2 5 - 9 = 1 - 3 -4 = -2 2

10. Find the slope of the line containing each pair of points. 19. A (-3, 10), B(-5, -4) Slope = y 2 - y 1 x 2 - x 1 x 1, y 1 x 2, y 2 -4 - 10 = -5 - (-3) -14 = -2 7

11. Find the slope of the line containing each pair of points. 21. A (3, -2), B(-1, 3) Slope = y 2 - y 1 x 2 - x 1 x 1, y 1 x 2, y 2 3 - (-2) = -1 - 3 5 -4

12. Find the slope of the line containing each pair of points. 23. A (1, 8), B(-1, 7) Slope = y 2 - y 1 x 2 - x 1 x 1, y 1 x 2, y 2 7 - 8 = -1 - 1 -1 = -2 1 2

13. Find the slope of the line containing each pair of points. 25. A (0, 4), B(3, -2) Slope = y 2 - y 1 x 2 - x 1 x 1, y 1 x 2, y 2 -2 - 4 = 3 - 0 -6 = 3 -2

14. Find the slope of the line containing each pair of points. 27. A (-9, 9), B(7, -2) Slope = y 2 - y 1 x 2 - x 1 x 1, y 1 x 2, y 2 -2 - 9 = 7 - (-9) -11 16