SOLUTION: How would I Write An Equation Of A Line That Passes Through (1,6) And Is Perpendicular To The Line x-y=4

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Question 649833: How would I Write An Equation Of A Line That Passes Through (1,6) And Is Perpendicular To The Line x-y=4
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
How would I Write An Equation Of A Line That Passes Through (1,6) And Is Perpendicular To The Line x-y=4
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Equation of a line: y=mx+b, m=slope, b= y-intercept
x-y=4
y=x-4
slope, m=1
slope of perpendicular line=-1 (negative reciprocal)
equation: y=-x+b
solve for b using coordinates of given point (1,6)
6=-1+b
b=7
equation of perpendicular line: y=-x+7

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