# How do you find the midpoint of the line segment joining Q(3,9), P(-1.5)?

Feb 7, 2017

See the entire 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 points in the problem gives:

$M = \left(\frac{\textcolor{red}{3} + \textcolor{b l u e}{- 1}}{2} , \frac{\textcolor{red}{9} + \textcolor{b l u e}{5}}{2}\right)$

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

#M = (1, 7)