# How do you find the midpoint of the line segment joining (-3,-2) (2,3)?

Mar 3, 2017

See the entire solution process below:

#### Explanation:

The formula for finding the midpoint of a line segment is:

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

Where $\left({x}_{\textcolor{red}{1}} , {y}_{\textcolor{red}{1}}\right)$ and $\left({x}_{\textcolor{b l u e}{2}} , {y}_{\textcolor{b l u e}{2}}\right)$ are the end points of the line segment.

Substituting the points from the problem gives:

$M = \left(\frac{\textcolor{red}{- 3} + \textcolor{b l u e}{2}}{2} , \frac{\textcolor{red}{- 2} + \textcolor{b l u e}{3}}{2}\right) = \left(- \frac{1}{2} , \frac{1}{2}\right)$