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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