Question

A line passes through `(8 ,9 )` and `(6 ,1 )`. A second line passes through `(3 ,5 )`. What is one other point that the second line may pass through if it is parallel to the first line?

Answer 1

I found the point of coordinates `(0, -7)`.

Explanation:

First we can find the equation of the line between the two first points and then the equation of the line parallel to this passing through the third point:

using this equation we can set `x=0` getting:
`y=(4*0)-7=-7`
The parallel line will then pass through the point of coordinates `(0, -7)`.