This document provides definitions and lessons on identifying the slope and y-intercept of a line. It defines slope as the ratio of vertical to horizontal change and the y-intercept as the point where the line crosses the y-axis. Examples are given to demonstrate using the slope formula to find the slope between two points and graphing lines using identified slopes and y-intercepts.

1. Identifying The Slope of
a Line and y-intercept
• Objectives
• Video
• Definitions
• Lesson slope
• Small group
• Lesson y-intercept
• Group Project
• Exit ticket

2. Academic Standard
Expression & Equations 6.EE.C.9
Represent and analyze quantitative relations
between dependent and independent variables
I will be able to identify the slope of a line
I will be able to identify the y-intercept
Lesson Objective
Language Objective
Listen- Stating the next event in a series based on clues from narrative or informational oral text
Speaking- Paraphrasing and summarizing content-related ideas presented orally
Reading- Sequencing steps or events to describe a process (e.g., solving math problems)
Writing- Composing dialogues or blogs based on personal experiences

3. 1st Definition of Slope
• The tilt of a line

4. • The ratio of vertical change to horizontal change.
2nd Definition of Slope
Vertical Change
Horizontal Change
This ratio is also known as
Rise
Run

5. • The change in y over the change in x
3rd Definition of Slope
y
x
Rise
Run

6. Identifying The
Slope of a Line

7. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
11
10
9
8
7
6
5
4
3
2
1
0

8. 11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

9. 11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

10. 11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

11. 11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

12. 11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

13. Identifying The
Y-Intercept

14. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
11
10
9
8
7
6
5
4
3
2
1
0
Y-Intercept

15. 11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Y-Intercept

16. 11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Y-Intercept

17. 11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Y-Intercept

18. 11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Y-intercept

20. Slope Formula

21. (1 ,0 )
y
x
=
Y1-Y2
X1-X2
Slope
Find 2 points
(2 ,2 )
(1 , 0 )
(2 ,2 )

22. (2 - 1 )
(2 - 0 )
y
x
=
Y1-Y2
X1-X2
Y
x
(2 ,2 )
(1 ,0 )
(1 , 0 )
(2 ,2 )
=
Input coordinates

23. y
x
y
x
=
Y
x
=
(2- 0)
(2 - 1 )
Y1-Y2
X1-X2
(2 ,2 )
(1 ,0 )

24. y
x
(2 - 1 )
(2 - 0 )
y
x
=
Y
x
=
solve
=
2
1
(2 ,2 )
(1 ,0 )

25. Verify
y
x
y
x
=
2
1

26. Graph (2,1) and (4,2)

27. y
x
y
x
=
Y
x
=
-
-
Y1-Y2
X1-X2
(2 ,1 )
(4 ,2 )

28. Verify
y
x
y
x
=

29. Graph (2,2) and (1,1)

30. y
x
y
x
=
Y
x
=
-
-
Y1-Y2
X1-X2
(2 ,2 )
(1 ,1 )

31. Verify
y
x
y
x
=

32. Graph (3,4) and (0,1)

33. y
x
y
x
=
Y
x
=
-
-
Y1-Y2
X1-X2
(3 ,4 )
(0 ,1 )

34. Verify
y
x
y
x
=

35. Graph (2,2) and (4,3)

36. y
x
y
x
=
Y
x
=
-
-
Y1-Y2
X1-X2
(4 ,3 )
(2 ,2 )

37. Verify
y
x
y
x
=

38. Graph (0,2) and (2,3)

39. y
x
y
x
=
Y
x
=
-
-
Y1-Y2
X1-X2
(2 ,3 )
(0 ,2 )

40. Verify
y
x
y
x
=

41. Exit ticket
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