1. Calculating Slope From Graphs
Lesson 14
Linear Equations
Calculating Slope From Graphs

2. Warm-Up Write each fraction in simplest form. Do not convert to
mixed numbers.

3. Calculating Slope From Graphs
Target:
Use slope triangles to find the slope of lines.

4. Vocabulary
Slope: The ratio of the vertical change to the horizontal change in a linear graph.
Slope Triangle: A right triangle where one leg of the triangle represents the vertical rise and the other leg is the horizontal run in a linear graph.

5. Finding Slope
The slope of a line is the ratio of the change in y-values to the change in x-values.

6. Example 1a
Draw a slope triangle for the line and identify the slope of the line. -1 +2

7. Example 1b
Draw a slope triangle for the line and identify the slope of the line. +2 +2

8. Example 1c
Draw a slope triangle for the line and identify the slope of the line. +3

9. Example 1d
Draw a slope triangle for the line and identify the slope of the line. +3

10. Example 2a
Graph the line that goes through the given points, draw a slope triangle and give the slope. -6 +3

11. Example 2b
Graph the line that goes through the given points, draw a slope triangle and give the slope. (0, 1) and (2, 4) +2 +3

12. Example 3 Graph a line with a slope of 2. Write slope as a fraction.
Pick a y-intercept.
Rise +2, Run +1
Draw the line. +1 +2

13. Exit Problems Is the slope of each line positive, negative, zero or
undefined?

14. Communication Prompt
How do you find the slope of a line from a graph?