Question

What are the coordinates of the point on the directed line segment from ( 1 , 8 ) (1,8) to ( 1 , − 4 ) (1,−4) that partitions the segment into a ratio of 2 to 1?

Answer 1

`(1,8)` and `( 1, −4)` are `12` units apart in the vertical direction, so the two points `(1,4)` and `(1,0)` each bisect the segment into thirds, a 2:1 ratio.

Explanation:

I gather from the "directed" part of the question we're supposed to choose one of those points, but I'm not totally sure which is meant. It's probably `(1,0)` which gives the segment to `(1,8)` that's twice as long as the one to `(1,-4).`