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GRAPHINGLINEAREQUATIONS

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SLOPE FORMULA y 2 - y 1 y 2 - y 1 x 2 - x 1 m = Given two points: (x 1,y 1 ) and (x 2,y 2 )

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FORMSOFLINEAREQUATIONS

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SLOPE INTERCEPT FORM y = m x + b m = slope b = y-intercept m = slope b = y-intercept

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STANDARD FORM Ax + By = C A, B, and C are integers. A > 0 m = - A B A, B, and C are integers. A > 0 m = - A B

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POINT - SLOPE FORM y - y 1 = m ( x - x 1 ) m = slope the given point is (x 1,y 1 ) m = slope the given point is (x 1,y 1 )

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1.Choose wisely! GRAPHINGGRAPHING 2.We need two things…. 3.We still need two things…. 4.We really need two things….

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Graphing using Slope and y-intercept Graphing using Slope and y-intercept y = mx + b y = 2 x + 4 m = 2 y-intercept = 4 y = mx + b y = 2 x + 4 m = 2 y-intercept = 4

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Ax +By = C 3x + 4y = 12 Ax +By = C 3x + 4y = 12 Graphing using Intercepts xy00xy00 xy00xy00

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x x y y 5 5 5 5 - 5 y = 2x + 1 -5 2x + 1 x x y y 12341234 12341234 2(1) +1 2(2) +1 2(3) +1 2(4)+1 2(1) +1 2(2) +1 2(3) +1 2(4)+1 35793579 35793579

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Ax +By = C 3x + 7y = 12 Ax +By = C 3x + 7y = 12 Graphing using Intercepts xy0?0xy0?0 xy0?0xy0?0 (You must be joking!)

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Objective - To graph linear equations using the slope and y-intercept.

Objective - To graph linear equations using the slope and y-intercept.

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