2. Main Idea and New Vocabulary Example 1: Real-World Example
Example 2: Find Slope Using a Graph or Table
Example 3: Find Slope Using a Graph or Table
Key Concept: Slope Formula
Example 4: Find Slope Using Coordinates
Example 5: Find Slope Using Coordinates
Lesson Menu

3. Find the slope of a line.
slope
rise
run
Main Idea/Vocabulary

4. Answer: The slope of the ramp is .
ACCESS RAMPS The access ramp from the sidewalk to the door of a hotel rises 8 inches for every horizontal change of 96 inches. What is the slope of the access ramp?
Definition of slope
rise = 8 in., run = 96 in.
Simplify.
Answer: The slope of the ramp is
Example 1

5. SKATEBOARDING A skateboard hill falls 10 inches for every horizontal change of 14 inches. What is the slope of the hill? A. B. C. D.
Example 1 CYP

6. Find Slope Using a Graph or Table
PHOTOGRAPHY The graph shows the position of a photograph leaning against a wall. Find the slope of the line.
Example 2

7. Find Slope Using a Graph or Table
Choose two points on the line. The vertical change is –3 units and the horizontal change is 1 unit.
Definition of slope
or –
rise = –3, run = 1
Answer: The slope of the line is or –3.
Example 2

8. ELEPHANTS The graph shows the bales of hay that an elephant at a zoo eats each week. Find the slope of the line.
A. 1 B.
C. 30
D. 40
Example 2 CYP

9. Find Slope Using a Graph or Table
PAINTING The table shows the number of gallons of paint Mrs. Brown used to paint the number of rooms. Find the slope of the line. Then graph it.
Example 3

10. Find Slope Using a Graph or Table
Choose two points from the table to find the changes in the x- and y-values.
Definition of slope
Answer: The slope is .
Example 3

11. HUMMINGBIRDS The table shows the number of hummingbird feeders and the amount of nectar used to fill the feeders. Find the slope of the line. Then graph it.
A. C.
B. D.
Example 3 CYP

12. Key Concept 4

13. Find Slope Using Coordinates
Find the slope of the line that passes through A(3, 3) and B(2, 0).
Slope formula
(x1, y1) = (3, 3)
(x2, y2) = (2, 0)
or 3
Simplify.
Example 4

14. Find Slope Using Coordinates
Answer: The slope is 3.
Check When going from left to right, the graph of the line slants upward. This is correct for positive slope.
Example 4

15. Find the slope of the line that passes through L(4, –1) and M(0, 5).
B. –1 C. D.
Example 4 CYP

16. Find Slope Using Coordinates
Find the slope of the line that passes through X(−2, 3) and Y(3, 0).
Slope formula
(x1, y1) = (–2, 3)
(x2, y2) = (3, 0)
Simplify.
Example 5

17. Find Slope Using Coordinates
Answer: The slope is
Check When going from left to right, the graph of the line slants downward. This is correct for negative slope.
Example 5

18. Find the slope of the line that passes through R(1, 8) and S(–2, 2).B. C.
D. 2
Example 5 CYP