A line passes through $(4 ,9 )$ and $(8 ,3 )$ . A second line passes through $(2 ,6 )$ . 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 · 2018-05-18T09:36:50

(0,9)

For 2 lines to be parallel they must have the same gradient.
The gradient of the first line is $(9-3)/(4-8)=-3/2$

Using the given point (2,6), $(6-y)/(2-x)=-3/2$

(0,9) satisfies this.

A line passes through (4 ,9 )(4 ,9 ) and (8 ,3 )(8 ,3 ). A second line passes through (2 ,6 )(2 ,6 ). What is one other point that the second line may pass through if it is parallel to the first line?