# How do you find the midpoint of (-4,9) and (1, -3)?

Feb 28, 2016

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

#### Explanation:

The points are:

(-4,9) = color(blue)(x_1,y_1

(1,-3) = color(blue)(x_2,y_2

The formula to calculate the midpoint is:
$\left(\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}\right)$

$= \left(\frac{- 4 + 1}{2} , \frac{9 + \left(- 3\right)}{2}\right)$

$= \left(\frac{- 3}{2} , \frac{6}{2}\right)$

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