SOLUTION: Are these two lines perpendicular? Line 1: y=x+3 Line 2: x-y=13

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Question 115632: Are these two lines perpendicular?
Line 1: y=x+3
Line 2: x-y=13
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Are these two lines perpendicular?
Line 1: y=x+3
Line 2: x-y=13
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L1: y = x+3
L2: y = x-13
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Both have a slope of m = 1 so the lines a parallel.
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's solve for y in the second equation



x-y=13 Start with the given equation



-y=13-xSubtract x from both sides


y=x-13 Multiply both sides by -1 to isolate y. This will change the sign of all of the terms on the right


Now since the slope of the first line is m=1 and the slope of the second line is also m=1, these two lines are parallel. So they cannot be perpendicular.