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.