1. Slope
Chapter 7, Lesson 5
Pg. 497

2. Objective and Vocabulary
Find Rates of Change and Slope (same meaning)
Relate a constant Rate of Change to Slope
Vocabulary
Rate of Change
Rise
Run
Slope

3. Rate of Change
A ratio that compares the amount of change in the Dependent Variable (y’s, rise) to the amount of change in the Independent Variable (x’s, run)
Table format or between 2 points
Remember direction on the axis (change between 2 points)
Up and down is positive and negative on the y-axis
Right and left is positive and negative on the x-axis

4. Example #1

5. Example #2 Finding rates of change from a graph (using 2 points)
A - B
B - C
C - D
D - E
E - F

6. Slope of a Line
On a straight line, the slope will remain constant for the entire line
We still use the same equation
Rise
Difference in “y” values (point 2 and point 1)
Run
Difference in “x” values (point 2 and point 1)
(stay consistent in direction between pt.2 and pt. 1)

7. Example of a Straight Line

8. Find the Slope of the Line?
Example #2 pg. 498 in Book
Find the Slope of the Line?

9. Example #3 pg. 499 in Book
The table shows the number of pages Garrett has left to read after a certain number of minutes. The points lie on a line. Find the slope of the line.
Time (min.)
x’s
Pages Left
y’s 1 12 3 9 5 6 7

10. 4 Types of Slope for a Line
1 - Positive Slope
Bottom left to top right
y = +mx + b
2 - Negative Slope
Top left to bottom right
y = -mx + b

11. 4 Types of Slope for a Line
3 - Zero Slope
Horizontal Line
y = #
4 - Undefined Slope
Vertical Line
x = #

12. Greater Slope? The steeper a line is, the greater the slope
The greater value (absolute value), the greater the slope

13. Homework
HC: Pg. 503, 14 – 31
RC: Pg. 503, 14 – 23,