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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 )
SLOPE INTERCEPT FORM y = m x + b m = slope b = y-intercept m = slope b = y-intercept
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
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 )
1.Choose wisely! GRAPHINGGRAPHING 2.We need two things…. 3.We still need two things…. 4.We really need two things….
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
Ax +By = C 3x + 4y = 12 Ax +By = C 3x + 4y = 12 Graphing using Intercepts xy00xy00 xy00xy00
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
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!)
Y x Objective - To graph linear equations using the slope and y-intercept. x Complete the table and graph y-intercept b = -1 Slope-Intercept.
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