1. Slope of a Line
Thinker
See if you can tell me the four types of slope and draw them!

2. Types of Slope
Zero
Negative
Positive
Undefined or
No Slope

3. Common Core Objective # 7
Graph proportional relationships, interpreting the unit rate as the slope of the graph.

4. Slope is the measure of the steepness of a line.

5. used to represent slope.
The letter “m” is
used to represent slope.
Why? Why not?

6. Slope of a line is its rate of change. Often the letter m is used
Slope of a line is its rate of change. Often the letter m is used. Change is often symbolized in mathematics by a delta for which the symbol is the Greek letter: Δ

7. Finding the Slope Take any two points
(1) Quick Graph to determine what type of slope
(2) Put in a table and determine the change in y’s and x’s OR
USE THE FORMULA

8. If given 2 points on
a line, you may find
the slope using the
formula m = y2 – y1
x2 – x1

9. Find the slope of the line through the points (3,7) and (5, 19). x1 y1
m = 19 – 7
5 – 3
m = 12 2
m = 6

10. (3, 4) and (-6, -2)
m = -2 – 4
-6 – 3
m = -6 -9
m = ⅔

11. Find the slope of the line given two points or a graph:
Notebook Examples
Answers
(1) m = 2
(2) m = -1
(3) m = 0
(4) m = 5/6
Find the slope of the line given two points or a graph:
(1) (1, 2), (4, 8)
(2) (-5, 2), (1, -4)
(3) (7, 6), (3, 6)
(4) (2, -6), (8, -1)

12. Exit Slip Find the slope of the line between points (0, -4) and (3,0)
(1) QUICK SKETCH to determine if line is POSITIVE, NEGATIVE, etc.
(2) MAKE A TABLE and LOOK FOR A PATTERN or USE SLOPE FORMULA

13. Another method to use when given a graph
Is RISE
RUN
Answer is
4/3

14. rise = 4
m= rise
run
run = 5
m= 4/5

16. MORE EXAMPLES
Answer is 1/4

17. MORE EXAMPLES

18. Special Case Samples M=0 M=Undefined

20. COMMON CORE #7 PRACTICE
Pages Given two points, find the slope 7-9 Given a graph of a line, find the slope Multiple Choice