A line passes through $(6 ,2 )$ and $(5 ,3 )$ . A second line passes through $(7 ,7 )$ . What is one other point that the second line may pass through if it is parallel to the first line?

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A line passes through $(6 ,2 )$ and $(5 ,3 )$ . A second line passes through $(7 ,7 )$ . What is one other point that the second line may pass through if it is parallel to the first line?

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Answer 1 · 2018-06-17T09:09:35

The direction vector for the first line is $(6,2)-(5,3)=(1,-1)$ so the second, parallel line is $(7,7)+t(1,-1)$ so includes $(8,6), (9,5), (6,8), etc.$

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A line passes through $(6 ,2 )$ and $(5 ,3 )$ . A second line passes through $(7 ,7 )$ . What is one other point that the second line may pass through if it is parallel to the first line?

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A line passes through (6 ,2 )(6 ,2 ) and (5 ,3 )(5 ,3 ). A second line passes through (7 ,7 )(7 ,7 ). What is one other point that the second line may pass through if it is parallel to the first line?

1 Answer

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Impact of this question

A line passes through $(6 ,2 )$ and $(5 ,3 )$ . A second line passes through $(7 ,7 )$ . What is one other point that the second line may pass through if it is parallel to the first line?