Question

Line segment AB has endpoint A(-5,6) and B(7,0), what are the coordinates of the midpoint of AB?

Answer 1

The formula for the midpoint is as follows:

`\mleft(\cfrac{x_1+x_2}{2},\cfrac{y_1+y_2}{2}\mright)`

Let:

`\begin{gathered} (x_1,y_1)=(-5,6) \\ (x_2,y_2)=(7,0) \end{gathered}`

Substitute the coordinates into the formula and then simplify.

`\begin{gathered} \mleft(\cfrac{x_1+x_2}{2},\cfrac{y_1+y_2}{2}\mright)=\mleft(\cfrac{-5+7}{2},\cfrac{6+0}{2}\mright) \\ =\mleft(\cfrac{2}{2},\cfrac{6}{2}\mright) \\ =(1,3) \end{gathered}`