Question

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y) midpoint(-23,10) endpoint (-17,7)

Answer 1

`\bf \left( \cfrac{x-17}{2}~,~\cfrac{y+7}{2} \right)=\stackrel{\textit{midpoint}}{(-23,10)}\implies \begin{cases} \cfrac{x-17}{2}=-23\\\\ x-17=-46\\ \boxed{x=-29}\\ ----------\\ \cfrac{y+7}{2}=10\\\\ y+7=20\\ \boxed{y=13} \end{cases}`