Question

the midpoint of kl is m(4.8, -7.8). one endpoint is l(0.6, -5.6). find the coordinates of the other endpoint k.

Answer 1

`\bf \left( \cfrac{0.6+x}{2}~~,~~\cfrac{-5.6+y}{2} \right)~=~\stackrel{midpoint}{(4.8~,~-7.8)}\quad \begin{cases} \cfrac{0.6+x}{2}=4.8\\\\ 0.6+x=9.6\\ \boxed{x=9}\\ ---------\\ \cfrac{-5.6+y}{2}=-7.8\\\\ -5.6+y=-15.6\\ \boxed{y=10} \end{cases}`