# How do you find the midpoint of A(-1,3) and B(-5,9)?

Apr 27, 2016

The midpoint is $\left(- 3 , 6\right)$

#### Explanation:

A$\left(- 1 , 3\right) = \textcolor{b l u e}{{x}_{1} , {y}_{1}}$

B$\left(- 5 , 9\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

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

$= \left(\frac{- 1 + \left(- 5\right)}{2} , \frac{3 + 9}{2}\right)$

$= \left(- \frac{6}{2} , \frac{12}{2}\right)$

Midpoint$= \left(- 3 , 6\right)$