SOLUTION: Find an equation for the line perpendicular to the line −x−5y=2 having the same y-intercept as 7x−9y=−9

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Question 1099151: Find an equation for the line perpendicular to the line −x−5y=2 having the same y-intercept as 7x−9y=−9
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So first off, find the y-intercept of the second equation,
Set x=0 and solve for y.
7%280%29-9y=-9
-9y=-9
y=1
So then all you need is the slope,
y=m%5B2%5Dx%2B1
Perpendicular lines have slopes that are negative reciprocals,
So the first line is,
5y=-x-2
y=-x%2F5-2%2F5
and
m%5B1%5D=-1%2F5
So,
-%281%2F5%29m%5B2%5D=-1
m%5B2%5D=5
So,
highlight%28y=5x%2B1%29
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