SOLUTION: Find an equation for the line perpendicular to the line 7x-6y=-6 having the same y-intercept as 6x+10y=-10.

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Question 569427: Find an equation for the line perpendicular to the line 7x-6y=-6 having the same y-intercept as 6x+10y=-10.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope of +7x+-+6y+=+-6+
+-6y+=+-7x+-+6+
+6y+=+7x+%2B+6+
+y+=+%287%2F6%29%2Ax+%2B+1+
The slope is +7%2F6+
Any line perpendicular to this one will
have slope = +-%28+1+%2F+%287%2F6%29+%29+=+-%286%2F7%29+
So far the line is
+y+=+-%286%2F7%29%2Ax+%2B+b+, where b is the y-intercept
-----------------
Now find y-intercept of +6x+%2B+10y+=+-10+
+10y+=+-6x+-+10+
+y+=+-%283%2F5%29%2Ax+-+1+
The y-intercept is +-1+, so
+y+=+-%286%2F7%29%2Ax+-+1+ is the answer
Here's a plot of the 3 lines: