SOLUTION: How can I show that two line segments whose endpoints are (8,0) (6,6) and (5,7), and (8,-5) are perpendicular?

Algebra ->  Linear-equations -> SOLUTION: How can I show that two line segments whose endpoints are (8,0) (6,6) and (5,7), and (8,-5) are perpendicular?      Log On


   

Question 678444: How can I show that two line segments whose endpoints are (8,0) (6,6) and (5,7), and (8,-5) are perpendicular?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Find slopes of each line segment, the slopes should be negative reciprocals.
For example, if a line has a slope of 2, the perpendicular line will have slope of -1%2F2.
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Use endpoints to find the slope of the line
%28y1-y2%29%2F%28x1-x2%29+=+slope
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(8,0)(6,6)
%280-6%29%2F%288-6%29+=+-6%2F2+=+-3
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(5,7)(8,-5)
%287--5%29%2F%285-8%29+=+12%2F-3+=+-4
...
The lines are neither perpendicular nor parallel, they don't have negative reciprocal slopes nor do they even have the same slope.
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Perhaps indicate which endpoints correspond with each line segment.
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