# How do you find the midpoint of (4.25,2.5), (2.5,-3)?

Mar 9, 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:

$M = \left(\frac{\textcolor{red}{4.25} + \textcolor{b l u e}{2.5}}{2} , \frac{\textcolor{red}{2.5} + \textcolor{b l u e}{- 3}}{2}\right)$

$M = \left(\frac{6.75}{2} , \frac{- 0.5}{2}\right)$

$M = \left(3.375 , 0.25\right)$