1. Lines, Lines, Lines!!! ~ Slopes
They Rise…
…They Fall
&
They Stay Constant!

2. Where are Slopes Often Found?

3. What is a Slope? The Rise or Fall of a Line
The negative or positive inclination of a line
The Change of ‘y’ over the change of ‘x’
The ratio of vertical change to horizontal change.

4. Positive and Negative Slopes

5. Zero and Undefined Slopes

6. In Mathematics You will see Slopes being Defined in the following ways

8. What does it mean? Positive numbers moves Up and to the Right
Negative numbers moves Down and to the Left

9. How many points are needed to draw a line?
One?
Two?
Three?

10. Find the slope of A(-2, -2) and B(3, 4)

11. Find the slope of A(-2, -2) and B(3, 4)

12. Graph (3,3) and (-1,-2)
Remember to click to make each part appear

13. Draw a line through the points.
Line will appear automatically

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

15. Vertical Change or the Rise5
Discuss vertical change

16. Horizontal Change or the Run4 5
Discuss horizontal change

17. Vertical Rise Horizontal Run5 4
May need to remind students that a ratio is a comparison of two numbers

18. Find the slope of the line.

19. The slope is…. 3 2
Discuss why the slope is negative and that –3/1 reduces to –3.

20. Find the slope of these lines.
Have students practice.

21. The slope is…
Yellow Line 3
Red Line 1
Blue Line -1/2

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

23. The graphs are…

24. Student Activity
You will now receive a worksheet. Turn the worksheet in when completed.

25. Do Not Disturb Work In Progress