Question 1073988: Prove that pq and rs are parallel line if p(1,5) q(4,2) r(1,9) s(7,3)
Answer by ikleyn(52890)   (Show Source):
You can put this solution on YOUR website! .
The vector pq (from p to q) is (4-1,2-5) = (3,-3).
The vector rs (from r to s) is (7-1,3-9) = (6,-6).
Hence, the vectors pq and rs are parallel (they have proportional components).
Therefore, the straight lines pq and rs are parallel.
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