1. Slope
From a graph
13-2

2. Introduction
Slope is used in many forms of advanced mathematics and business math. Corporations use slope when determining predicted profit. Engineers use slope when designing anything from a car part to a skyscraper. We will use slope simply to get a better understanding of a graph.
13-2

3. The Goal…
You will be able to find the slope of a line when given a graph of that line.
13-2

4. Slope
Slope – The slope of a line measures how much it is slanted by comparing its vertical change to its horizontal change.
Slope = m
13-2

5. When given the graph… How to find slope… Find 2 points
Go Left to Right
Rise over Run
Simplify
run
rise
( Rise )
m =
( Run )
13-2

6. Example 1: Find the slope of the line shown. run Rise = 4 Run = 4 rise
13-2

7. Example 2: Find the slope of the line shown. Rise = 2 Run = 5 run rise
13-2

8. Example 3: Find the slope of the line shown. Rise = -2 Run = 4 rise
13-2

9. Example 4: Find the slope of the line shown. Rise = 6 Run = 3 run rise
13-2

10. On your own: Find the slope of the line shown. Rise = -1 Run = 2 rise
13-2

11. Horizontal and Vertical:
Rise = 0
Run = 4
8.)
rise
run
13-2

12. Horizontal and Vertical:
Rise = 5
Run = 0
9.)
run
rise
13-2

13. Finding slope from 2 points
Formula:
13-2

14. Finding slope from 2 points
Example 10: (3,2) & (7,8) 3 2 7 8 6 3 = 4 2
13-2

15. Finding slope from 2 points
Example 11: (6,1) & (2,3) 6 1 2 3 2 1
= - -4 2
13-2

16. Finding slope from 2 points
Example 12: (3,-2) & (-4,7) 3 -2 -4 7 9 9
= - -7 7
13-2

17. Examples 13-15
Try these examples and compare with a partner.
13-2