# How do you find the midpoint of the segment with endpoints (-2,-1) and (-4,5)?

##### 1 Answer
May 18, 2016

The midpoint $= \left(- 3 , 2\right)$

#### Explanation:

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

$\left(- 4 , 5\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

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

$= \left(\frac{- 2 + \left(- 4\right)}{2} , \frac{- 1 + 5}{2}\right)$

$= \left(- \frac{6}{2} , \frac{4}{2}\right)$

$= \left(- 3 , 2\right)$