# How do you find the midpoint of ( 7, 4 ) and ( 2, 1 )?

Feb 1, 2017

See the entire solution process below:The formula to find the mid-point of a line segment give the two end points is:

#### 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 and solving gives:

$M = \left(\frac{\textcolor{red}{7} + \textcolor{b l u e}{2}}{2} , \frac{\textcolor{red}{4} + \textcolor{b l u e}{1}}{2}\right)$

$M = \left(\frac{9}{2} , \frac{5}{2}\right)$