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Unformatted text preview: 3.4 Slope and Rate of Change MartinGay, Beginning and Intermediate Algebra, 4ed 2 Slope of a Line Slope of a Line 1 2 1 2 1 2 x x x x y y change x change y run rise m = = = MartinGay, Beginning and Intermediate Algebra, 4ed 3 Slope of a Line Slope of a Line Positive Slope: m > 0 x y Lines with positive slopes go upward as x increases. Negative Slope: m < 0 x y Lines with negative slopes go downward as x increases. MartinGay, Beginning and Intermediate Algebra, 4ed 4 Find the slope of the line through (4, 3 ) and (2, 2). If we let ( x 1 , y 1 ) = (4, 3) and ( x 2 , y 2 ) = (2, 2), then 2 ( 3) 5 5 2 4 2 2 m = = = 3 2 5 5 4 2 2 2 m = = = Note: If we let ( x 1 , y 1 ) be (2, 2) and ( x 2 , y 2 ) be (4, 3), then we get the same result. Example: Finding the Slope Given Two Points MartinGay, Beginning and Intermediate Algebra, 4ed 5 SlopeIntercept Form When a linear equation in two variables is written in the slopeintercept form, y = mx + b m is the slope and (0,...
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This note was uploaded on 11/04/2011 for the course MATH 103 taught by Professor Alraban during the Fall '10 term at Montgomery College.
 Fall '10
 Alraban
 Math, Algebra, Rate Of Change, Slope

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