# How do you find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9)?

May 18, 2016

The midpoint $= \left(1 , 7\right)$

#### Explanation:

$\left(- 2 , 5\right) = \textcolor{b l u e}{{x}_{1} , {y}_{1}}$

$\left(4 , - 9\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

The midpoint is calculated using formula:
Midpoint $= \left(\textcolor{b l u e}{\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}}\right)$

$= \left(\frac{- 2 + 4}{2} , \frac{5 + 9}{2}\right)$

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

$= \left(1 , 7\right)$