# How do you find the midpoint of (2,2)(6,4)?

Feb 26, 2017

See the entire solution process below:

#### Explanation:

The formula to find the mid-point of a line segment give the two end points is:

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

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 values from the problem gives:

$M = \left(\frac{\textcolor{red}{2} + \textcolor{b l u e}{6}}{2} , \frac{\textcolor{red}{2} + \textcolor{b l u e}{4}}{2}\right) = \left(\frac{8}{2} , \frac{6}{2}\right) = \left(4 , 3\right)$