identifying the slope of a line
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Identifying The Slope of a Line and y-
intercept• Objectives• Video• Definitions• Lesson slope• Small group• Lesson y-intercept• Group Project• Exit ticket
Academic StandardExpression & 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 ObjectiveListen- Stating the next event in a series based on clues from narrative or informational oral textSpeaking- Paraphrasing and summarizing content-related ideas presented orallyReading- Sequencing steps or events to describe a process (e.g., solving math problems)Writing- Composing dialogues or blogs based on personal experiences
1st Definition of Slope• The tilt of a line
• The ratio of vertical change to horizontal change.
2nd Definition of Slope
Vertical Change
Horizontal Change
This ratio is also known as
Rise
Run
• The change in y over the change in x
3rd Definition of Slope
y x
Rise
Run
Identifying The Slope of a Line
Y
X0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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10
9
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2
1
0
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2
1
00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
X
Y
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00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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Y
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00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
X
Y
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00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
X
Y
11
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00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
X
Y
Identifying The Y-Intercept
Y
X0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
11
10
9
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3
2
1
0
Y-Intercept
11
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2
1
00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
X
Y
Y-Intercept
11
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2
1
00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
X
Y Y-Intercept
11
10
9
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7
6
5
4
3
2
1
00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
X
Y Y-Intercept
11
10
9
8
7
6
5
4
3
2
1
00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
X
Y Y-intercept
Slope Formula
(1 ,0 )
y x = Y1-Y2
X1-X2
Slope
Find 2 points
(2 ,2 )
(1 , 0 )
(2 ,2 )
(2 - 1 )
(2 - 0 )
y x =
Y1-Y2
X1-X2
Y x
(2 ,2 )
(1 ,0 )
(1 , 0 )
(2 ,2 )
=
Input coordinates
y xy x =
Y x
=(2- 0)
(2 - 1 )
Y1-Y2X1-X2
(2 ,2 )
(1 ,0 )
y x
(2 - 1 )
(2 - 0 )
y x =
Y x =
solve
=2
1
(2 ,2 )
(1 ,0 )
Verify
y xy x = 2
1
Graph (2,1) and (4,2)
y xy x =
Y x
=-
-
Y1-Y2X1-X2
(2 ,1 ) (4 ,2 )
Verify
y xy x =
Graph (2,2) and (1,1)
y xy x =
Y x
=-
-
Y1-Y2X1-X2
(2 ,2 ) (1 ,1 )
Verify
y xy x =
Graph (3,4) and (0,1)
y xy x =
Y x
=-
-
Y1-Y2X1-X2
(3 ,4 ) (0 ,1 )
Verify
y xy x =
Graph (2,2) and (4,3)
y xy x =
Y x
=-
-
Y1-Y2X1-X2
(4 ,3 ) (2 ,2 )
Verify
y xy x =
Graph (0,2) and (2,3)
y xy x =
Y x
=-
-
Y1-Y2X1-X2
(2 ,3 ) (0 ,2 )
Verify
y xy x =
Exit ticket
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