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**Objective - To find the slope of a line.**

The rate of change that determines the direction of a line and how steep it is. y x vertical change Slope = horizontal change +2 y Slope = +3 x -6 rise Slope = run -4 +3 3 2 = Slope = m = +2 -6 3 m = = -4 2

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**Find the slope of the line below.**

x y Slope = rise run +1 Slope = +4 +4 m = 1 4 +1 -2 -2 = 1 4 -8 m = -8

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**Find the slope of the line below.**

x y Slope = rise run +1 +3 Slope = +3 +1 m = 3

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**Find the slope of the line below.**

x y Slope = rise run -2 -2 Slope = +3 +3 m = 2 3

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**Find the slope of the line below.**

x y Slope = rise run -2 Slope = +1 m = -2 -2 +1

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**Find the slope of the line below.**

x y +4 Slope = rise run +3 +3 Slope = +4 m = 3 4

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**Find the slope of the line below.**

x y Slope = rise run -1 +2 -1 Slope = +2 m = 1 2

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y rise run x Slope = rise run Slope Formula

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**Use the slope formula to find the slope between the given points.**

1 2 1 2 1) (2, 5) (6, 9) 2) (-3, 7) (5, -5)

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**Use the slope formula to find the slope between the given points.**

2 1 1 2 3) (6, 1) (-3, 4) 4) (3, -2) (6, 8)

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**Use the slope formula to find the slope between the given points.**

1 2 1 2 (-2, 4) (3, 4) (2, -1) (2, 5) m = undefined y x m = 0 All horizontal lines have slope = 0 All vertical lines have undefined slope “zero slope” “no slope”

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**Positive Slope vs. Negative Slope**

x y m = 0 m = undefined

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**Slope as a Rate of Change **

The graph below represents Joe’s drive to work. Describe what happens during each segment. J Distance from home D C E F H A B G I Time

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Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 3 Introduction to Graphing.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 3 Introduction to Graphing.

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