Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number...
Transcript of Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number...
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Slope of a Line and
Slope Intercept Form
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slip-Intercept Form.
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Warm Up:
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
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HW ANSWERS:
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
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HW ANSWERS:
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
![Page 5: Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to](https://reader034.fdocuments.in/reader034/viewer/2022043004/5f88dbab83ab6143c0759fdb/html5/thumbnails/5.jpg)
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
![Page 6: Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to](https://reader034.fdocuments.in/reader034/viewer/2022043004/5f88dbab83ab6143c0759fdb/html5/thumbnails/6.jpg)
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
![Page 7: Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to](https://reader034.fdocuments.in/reader034/viewer/2022043004/5f88dbab83ab6143c0759fdb/html5/thumbnails/7.jpg)
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
12x + 2y = 126 3x + 2y = 36 -
9x = 90
x = 10
12(10) + 2y = 126
2y = 6
y = 3
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The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to determine the slope.
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
![Page 9: Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to](https://reader034.fdocuments.in/reader034/viewer/2022043004/5f88dbab83ab6143c0759fdb/html5/thumbnails/9.jpg)
The slope “m” of a line passing through points (x1, y1) and (x2,y2) is the ratio of the rise over the run.
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
![Page 10: Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to](https://reader034.fdocuments.in/reader034/viewer/2022043004/5f88dbab83ab6143c0759fdb/html5/thumbnails/10.jpg)
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slip-Intercept Form.
Case IV:
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SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slip-Intercept Form.
Example 1: Calculating the Slope from a set of points.
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Practice 1:
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
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Practice 2: Find the slope of the line below:
1
-7
1 -7
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
𝟏
−𝟕= −
𝟏
𝟕
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SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
![Page 15: Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to](https://reader034.fdocuments.in/reader034/viewer/2022043004/5f88dbab83ab6143c0759fdb/html5/thumbnails/15.jpg)
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slip-Intercept Form. Example 2: Graphing by using slope and y-intercept.
𝟑
𝟒
-2
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SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
![Page 17: Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to](https://reader034.fdocuments.in/reader034/viewer/2022043004/5f88dbab83ab6143c0759fdb/html5/thumbnails/17.jpg)
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slip-Intercept Form.
Example 3: Horizontal and Vertical Lines. Point = (a, b)
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Example 3: Horizontal and Vertical Lines.
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
y = -4
x = 2
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SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
![Page 20: Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to](https://reader034.fdocuments.in/reader034/viewer/2022043004/5f88dbab83ab6143c0759fdb/html5/thumbnails/20.jpg)
Example 5: Writing Equations of Lines and Grpahs.
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
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Example 6: Identifying Slope and Y-Intercept from Linear Equations
3x + 2y = 4
2
2y = -3x + 4
-3x =-3x
2 2
y = −𝟑
𝟐𝒙 + 𝟐
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
3x + 2y = 4
m = −𝟑
𝟐; 𝒃 = 𝟐
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Practice:
4x - 2y = 14
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
4x - 2y = 14
-2
-2y = -4x + 14
-4x =-4x
-2 -2
y = 𝟐𝐱 − 𝟕
m = 𝟐; 𝒃 = −𝟕
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SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
![Page 24: Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to](https://reader034.fdocuments.in/reader034/viewer/2022043004/5f88dbab83ab6143c0759fdb/html5/thumbnails/24.jpg)
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.
![Page 25: Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to](https://reader034.fdocuments.in/reader034/viewer/2022043004/5f88dbab83ab6143c0759fdb/html5/thumbnails/25.jpg)
SWBAT: Calculate the slope of a line using the slope formula. Write and Graph a linear equation in Slope-Intercept Form.