A line passes through (9,2) and (3,5). A second line passes through (4,8). What is one other point that the second line may pass through if it is parallel to the first line?

1 Answer
bp
Jan 21, 2017

It can be any point on the second line, for example (0,10) as explained below.

Explanation:

The slope of the line passing though (9,2) and (3,5) would be 5−23−9=3−6=−12.

The slope of the second line would also be −12 because it is parallel to the first one. Second line also passes through the point (4,8), hence its equation in point slope form would be y−8=−12(x−4). Another point on this line can be any, which can be obtained by assigning any arbitrary value to x and finding the corresponding y. For example, let x=0, then y=10. Hence this point point would be (0,10)

Related questions
See all questions in Equations of Parallel and Perpendicular Lines
Impact of this question
1997 views around the world
You can reuse this answer
Creative Commons License