# How do you find the midpoint of the segment connecting (4,7) to to (2,3)?

Dec 26, 2016

The midpoint of this segment is (3, 5)

#### Explanation:

$M = \left(\frac{\textcolor{red}{{x}_{1}} + \textcolor{b l u e}{{x}_{2}}}{2} , \frac{\textcolor{red}{{y}_{1}} + \textcolor{b l u e}{{y}_{2}}}{2}\right)$

Where $M$ is the midpoint and the given points are:

$\textcolor{red}{\left({x}_{1} , {y}_{1}\right)}$ and $\textcolor{b l u e}{\left({x}_{2} , {y}_{2}\right)}$

Substituting the points in the problem we can solve for $M$:

$M = \left(\frac{\textcolor{red}{4} + \textcolor{b l u e}{2}}{2} , \frac{\textcolor{red}{7} + \textcolor{b l u e}{3}}{2}\right)$

$M = \left(\frac{6}{2} , \frac{10}{2}\right)$

$M = \left(3 , 5\right)$