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Constant Rate of Change and Slope 9.3
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Rate of Change Rate of Change: describes how a quantity changes in relation to another Constant Rate of Change: The rate of change is the same between any two point. All Linear Functions have a Constant Rate of Change
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Find the Constant Rate of Change in the table Hours (x) 1234 Feet (y) -12-14-16-18 +1 -2
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Slope
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Meet Joe….Joe Cool Joe has a disease, he can only walk to the right. Use Joe to help you find the slope Always start on the left to help Joe walk to the right
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“slope” 3
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Graph the line containing the points (-4,2) and (2,-3) and find the slope. 6
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Slope of a Horizontal line (y=#) Always 0
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What is the slope? (5,4) (-6,4) Horizontal line = “0” slope
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Slope of a Vertical Line (x=#) Always Undefined
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What is the slope? (3,8) (3,-2) Vertical line = “no slope”
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Slope Formula
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Find the slope of the line containing (2,2) and (8,9) 9-2 = 7 8-2 6
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Find the slope of the line containing (-4,-6) and (3,-2) M= -2 - -6 = -2 + 6 = 4 3 - -4 3 + 4 7
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Find the slope of the line containing (1,1) and (3,5)
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Adventures of Slope Dude http://www.youtube.com/watch?v=ZzU8x5cM R-w http://www.youtube.com/watch?v=ZzU8x5cM R-w
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Homework Page 400 (7-22) all
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