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**Finding the Slope of a Line From Two Points**

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**Given the points: (3, 4) and (2, 6)**

Problem 1 5 Given the points: (3, 4) and (2, 6) x1, y1 x2, y2 -5 5 Find the slope of the line. -5 y2 – y1 x2 – x1 6 – 4 2 -2 = = = 2 – 3 -1

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**Given the points: (3, 0) and (6, 2)**

Problem 2 5 Given the points: (3, 0) and (6, 2) x1, y1 x2, y2 -5 5 Find the slope of the line. -5 y2 – y1 x2 – x1 2 – (0) 2 = = 6 – (3) 3

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**Given the points: (0, 8) and (-3, 10)**

Problem 3 Given the points: (0, 8) and (-3, 10) 5 x1, y1 x2, y2 Find the slope of the line. -5 5 -3 y2 – y1 x2 – x1 10 – (8) 2 = = -3 – (0) -3

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**Given the points: (0, 9) and (4, 7)**

Problem 4 Given the points: (0, 9) and (4, 7) 5 x1, y1 x2, y2 Find the slope of the line. -5 5 -2 y2 – y1 x2 – x1 7 – (9) -2 -½ = = = 4 – (0) 4

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**Given the points: (3, -2) and (1, 2)**

Problem 5 5 Given the points: (3, -2) and (1, 2) x1, y1 x2, y2 -5 5 Find the slope of the line. -5 y2 – y1 x2 – x1 2 – (-2) 4 -2 = = = 1 – (3) -2

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**Given the points: (-2, 3) and (3, -6)**

Problem 6 5 Given the points: (-2, 3) and (3, -6) -5 5 x1, y1 x2, y2 Find the slope of the line. -5 y2 – y1 x2 – x1 -6 – (3) -9 = = 3 – (-2) 5

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**Given the points: (-1, 0) and (-3, -6)**

Problem 7 3 Given the points: (-1, 0) and (-3, -6) -5 5 x1, y1 x2, y2 -5 Find the slope of the line. y2 – y1 x2 – x1 -6 – (0) -6 3 = = = -3 – (-1) -2

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**Given the points: (0, 0) and (-4, -8)**

Problem 8 2 Given the points: (0, 0) and (-4, -8) -5 5 x1 , y1 x2, y2 -5 Find the slope of the line. y2 – y1 x2 – x1 -8 – (0) -8 2 = = = -4 – (0) -4

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**Slope of Vertical and Horizontal Lines**

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**Given the points: (5, -4) and (-3, -4)**

Problem 9 2 Given the points: (5, -4) and (-3, -4) -4 5 x1, y1 x2, y2 -5 y2 – y1 x2 – x1 -4 – (-4) = = = zero -3 – (5) -8

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**Given the points: (-4, -3) and (-4, 2)**

Problem 10 2 Given the points: (-4, -3) and (-4, 2) -4 5 x1, y1 x2, y2 -5 y2 – y1 x2 – x1 2 – (-3) 5 = = = Undefined -4 – (-4)

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Lesson 5-1. The ___________ of a line is a number determined by any two points on the line. It is the ratio of the ___________ (vertical change) over.

Lesson 5-1. The ___________ of a line is a number determined by any two points on the line. It is the ratio of the ___________ (vertical change) over.

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