SOLUTION: Use the given conditions to write an equation for the line in point slope form and general form. Passing through (2,-2)and perpendicular to the line whose equation is x-3y-5=0

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Use the given conditions to write an equation for the line in point slope form and general form. Passing through (2,-2)and perpendicular to the line whose equation is x-3y-5=0      Log On


   

Question 362513: Use the given conditions to write an equation for the line in point slope form and general form. Passing through (2,-2)and perpendicular to the line whose equation is x-3y-5=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope of the line,
x-3y-5=0
3y=x-5
y=x%2F3-5%2F3
m%5B1%5D=1%2F3
Perpendicular lines have slopes that are negative reciprocals.
m%5B1%5D%2Am%5B2%5D=-1
%281%2F3%29%2Am%5B2%5D=-1
m%5B2%5D=-3
Now use the point slope form,
y=-3x%2Bb
Use the point to solve for b,
-2=-3%282%29%2Bb
-2=-6%2Bb
b=4
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highlight%28y=-3x%2B4%29
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highlight%283x%2By=4%29
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