SOLUTION: Find the point on the line -3 x + 4 y + 3 =0 which is closest to the point (1,-5)

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Question 842864: Find the point on the line -3 x + 4 y + 3 =0 which is closest to the point (1,-5)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The closest point is a perpendicular line containing the point.
The line perpendicular to -3x%2B4y%2B3=0 or y=%283x-3%29%2F4 has a slope of
%283%2F4%29%2Am=-1
m=-4%2F3
y=-%284%2F3%29x%2Bb
Use the point to solve for b
-5=-%284%2F3%29%281%29%2Bb
-15%2F3%2B4%2F3=b
b=-11%2F3
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y=-%284%2F3%29x-11%2F3
3y=-4x-11
highlight%284x%2B3y%2B11=0%29
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