SOLUTION: Find the equation of the line through (20,-5) which is perpendicular to 2x+5y=8.

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line through (20,-5) which is perpendicular to 2x+5y=8.      Log On


   

Question 343910: Find the equation of the line through (20,-5) which is perpendicular to 2x+5y=8.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B5y=8
5y=-2x%2B8
y=-%282%2F5%29x%2B8%2F5
The slope of this line is m=-2%2F5
Perpendicular lines have slopes that are negative reciprocals.
m1%2Am2=-1
-%282%2F5%29%2Am2=-1
m2=5%2F2
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y=%285%2F2%29x%2Bb
Use the point to solve for b.
-5=%285%2F2%29%2820%29%2Bb
b%2B50=-5
b=-55
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highlight%28y=%285%2F2%29x-55%29
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