This document defines slope and discusses how to calculate it using the rise over run method. Slope is the ratio of vertical change to horizontal change between two points on a line. It provides examples of finding the slopes of various lines by calculating rise over run. The document concludes by explaining that if you know the slope and one point, you can draw the line. It provides examples of drawing lines given the slope and a point.

1. Finding The
Slope of a Line
Jennifer Prince 6/18/03

2. Slopes are commonly
associated with mountains.

3. The slope we are studying is
associated with the graph of a
line.

4. Definitions of Slope
• The tilt or inclination of a line
• The ratio of vertical change to horizontal
change.
• The change in y over the change in x

5. Tilt or Inclination

6. Vertical Change
Horizontal Change
This ratio is also known as
Rise
Run

7. How many points do you need to
draw a line?
• One
• Two
• Three

8. Graph (3,2) and (-1,-1)

9. Draw a line through the points.

10. Now that we have our line lets
find its slope.
Remember we are finding the following ratio:
Vertical or Rise
Horizontal Run

11. Vertical Change
or the Rise
3

12. Horizontal Change
or the Run
4
3

13. Vertical Rise
Horizontal Run
3
4

14. Find the slope of the following
line.

15. The slope is…
1
2

16. Find the slope of the line.

17. The slope is….
-3

18. Find the slope of these lines.

19. The slope is…
• Black line 3
• Red Line 1
• Blue Line -1/2

20. Find the slope of these lines

21. The slope is…
• Orange line 0
• Green Line Undefined

22. Let’s draw a line using slope.
What else do you think you need
besides the slope in order to draw a
line?
A point!

23. If you know the slope and one point on the
line you can draw the line.
Example: slope is 1/3 and the point (-2,-1)

24. Now you draw a line.
• Given: slope is 2/3 and the point is (1,0)
• Given: slope is –3 and the point is (–2,4)
• Given: slope is 1 and the point is (2,3)

25. The graphs are…

26. Work Time

27. Find the slope ( gradient ) of the lines : L1 , L2 , L3 , L4 in the figure
L1 , L2 , L3 , L4
Worksheet ( 1 )
m1 = ……… , m2 = ……….. , m3 = ……….. , m4 = ………..
L 1L 2
L 3
L 4 Zayed althani school
Math department
Mohamad badawi : hamadaa_math@yahoo.com

28. Draw lines : L1 & L2 such that :
Worksheet ( 2
)
Slope of L1 = and passes through ( – 3 , 5 )
Slope of L2 = 3 and passes through ( 3 , – 4 )
– 3
4
Zayed althani school
Math department
Mohamad badawi : hamadaa_math@yahoo.com