SOLUTION: Write an equation of the line L passing through (2,2) and is perpendicular to y=3x+2. Put your answer in Standard Form.

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line L passing through (2,2) and is perpendicular to y=3x+2. Put your answer in Standard Form.      Log On


   

Question 344636: Write an equation of the line L passing through (2,2) and is perpendicular to y=3x+2. Put your answer in Standard Form.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.
m1%2Am2=-1
3%2Am2=-1
m2=-1%2F3
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y=-%281%2F3%29x%2Bb
Use the point (2,2) to solve for b.
2=-%281%2F3%29%282%29%2Bb
b=6%2F3%2B2%2F3
b=8%2F3
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highlight%28y=-%281%2F3%29x%2B8%2F3%29
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