SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 5y = 10 L2 with equation 5x + y = 5

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Question 75688: Are the following lines parallel, perpendicular, or neither?
L1 with equation x – 5y = 10
L2 with equation 5x + y = 5

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
First we need to solve both of these equations for y:
x+-+5y+=+10
-+5y+=+10-x Subtract x from both sides
y+=+-2%2B%281%2F5%29x Divide both sides by -5

5x+%2B+y+=+5 Subtract 5x from both sides
y+=+5-5x
So we have two equations y+=+5-5x and y+=+-2%2B%281%2F5%29x with slopes
of m=1%2F5 and m=-5. Since they are the negative inverse of each other (ie m%5Bp%5D=-1%2Fm where m%5Bp%5D is the perpendicular slope), the two equations are perpendicular.