Question

Given the midpoint and one endpoint of a line segment, find the other endpoint.

Endpoint: (-9, -1), midpoint: (8, 14)

Answer 1

`\bf \left( \cfrac{x-9}{2}~~,~~\cfrac{y-1}{2} \right)=\stackrel{midpoint}{(8~~,~~14)}\implies \begin{cases} \cfrac{x-9}{2}=8\\\\ x-9=16\\ \boxed{x=25}\\ -------\\ \cfrac{y-1}{2}=14\\\\ y-1=28\\ \boxed{y=29} \end{cases}`

Answer 2

Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (-9, -1), midpoint: (8, 14)