SOLUTION: find an equation of the line L, where L is perpendicular to y=2x and passes through the point (1,2)?

Algebra ->  Graphs -> SOLUTION: find an equation of the line L, where L is perpendicular to y=2x and passes through the point (1,2)?      Log On


   

Question 377995: find an equation of the line L, where L is perpendicular to y=2x and passes through the point (1,2)?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slope that are negative reciprocals.
m%5B1%5D%2Am%5B2%5D=-1
2%2Am%5B2%5D=-1
m%5B2%5D=-1%2F2
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.
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y=-%281%2F2%29x%2Bb
Use the point to determine b.
2=-%281%2F2%29%281%29%2Bb
b=5%2F2
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highlight%28y=-%281%2F2%29x%2B5%2F2%29