# How do you find the midpoint of (-5,4) and (3,-2)?

Jun 21, 2016

The mid point is :
$= \left(- 1 , 1\right)$

#### Explanation:

The coordinates are:
$\left(- 5 , 4\right) = \textcolor{b l u e}{{x}_{1} , {y}_{1}}$

$\left(3 , - 2\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

The midpoint is calculated using formula:
Mid point $= \textcolor{b l u e}{\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}}$

$= \frac{\left(- 5 + 3\right)}{2} , \frac{4 + \left(- 2\right)}{2}$

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

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