SOLUTION: giving p (9,-9), q (-5,1) and r (-3,4). Write the equation of the line which passes through p and is perpendicular to qr

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Question 1088737: giving p (9,-9), q (-5,1) and r (-3,4). Write the equation of the line which passes through p and is perpendicular to qr
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find qr.
Use the points to get the slope.
m%5Bqr%5D=%284-1%29%2F%28-3-%28-5%29%29=3%2F%28-3%2B5%29=3%2F2
Perpendicular lines have slopes that are negative reciprocals,
m%5Bqr%5D%2Am%5Bp%5D=-1
%283%2F2%29%2Am%5Bp%5D=-1
m%5Bp%5D=-2%2F3
Use the point-slope form of a line with point p,
y-%28-9%29=-%282%2F3%29%28x-9%29
y%2B9=-%282%2F3%29x%2B6
y=-%282%2F3%29x-3
highlight%28y=-%282x%2B9%29%2F3%29
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