Write an equation if a line perpendicular to line AB below in slope intercept form that passes through the point 7,6

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(1) Answers

latinaberryhill

slope of AB :
(0,1)(-2,5)
slope = (5-1) / (-2 - 0) = 4/-2 = -2/1
a perpendicular line will have a negative reciprocal slope.....all that means is " flip " the slope and change the sign. So we need a slope of 1/2(or 0.5)
y = mx + b
slope(m) = 0.5
(7,6)...x = 7 and y = 6
now we sub and find b, the y int
6 = 0.5(7) + b
6 = 3.5 + b
6 - 3.5 = b
2.5 = b
so ur perpendicular line is : y = 0.5x + 2.5