SOLUTION: Write the equation of a line perpendicular to the given line but passing through the given point. The equation is y=1/4x-2;(8, -1)

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Question 943222: Write the equation of a line perpendicular to the given line but passing through the given point.
The equation is y=1/4x-2;(8, -1)

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Write the equation of a line perpendicular to the given line but passing through the given point.
The equation is y=1/4x-2;(8, -1)
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Form of equation for a line: y=mx+b, m=slope, b=y-intercept
y=x/4-2
slope,m=1/4
slope of perpendicular line=-4(negative reciprocal)
equation: y=-4x+b
solve for b using given coordinates on the line (8,-1)
-1=-4*8+b
b=31
equation of perpendicular line: y=-4x+31

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