Question

How do you find the coordinates of the other endpoint of a segment with the given endpoint of a segment is (12, -8) and the midpoint is (3, 18)?

Answer 1

The other end is at `(-6,44)`

Explanation:

The vector displacement from `(12,-8)` to `(3,18)` is
`color(white)("XXX")vec(""(3-12,18-(-8)))= vec(""(-9,26))`

A point twice as far away from `(12,8)` (but through `(3,18)`
would have a vector displacement of
`color(white)("XXX")2xxvec(""(-9,26))=vec(""(-18,52))`
from `(12,-8)`

`(12,-8)+vec(""(-18,52))=(-6,44)`