# How do you find the midpoint of (-24,2) (23,-25)?

Jul 18, 2016

$\left(- \frac{1}{2} , - \frac{23}{2}\right)$

#### Explanation:

Given 2 coordinate points $\left({x}_{1.} {y}_{1}\right) \text{ and } \left({x}_{2} , {y}_{2}\right)$ then the midpoint is found using $\textcolor{b l u e}{\text{midpoint formula}}$

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{\frac{1}{2} \left({x}_{1} + {x}_{2}\right) , \frac{1}{2} \left({y}_{1} + {y}_{2}\right)} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

The 2 points here are (-24 ,2) and (23 ,-25)

midpoint = $\left[\frac{1}{2} \left(- 24 + 23\right) , \frac{1}{2} \left(2 - 25\right)\right] = \left(- \frac{1}{2} , - \frac{23}{2}\right)$