# How do you find the midpoint of (-17,8), (-2,20)?

Feb 13, 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 points from the problem gives:

$M = \left(\frac{\textcolor{red}{- 17} + \textcolor{b l u e}{- 2}}{2} , \frac{\textcolor{red}{8} + \textcolor{b l u e}{20}}{2}\right)$

$M = \left(- \frac{19}{2} , \frac{28}{2}\right)$

$M = \left(- \frac{19}{2} , 14\right)$

The midpoint is $\left(- \frac{19}{2} , 14\right)$