# How do you find the midpoint of (–2, 5) and (–4, –6)?

Mar 15, 2016

$M = \left(- 3 , - \frac{1}{2}\right)$

#### Explanation:

The midpoint of a line created by the coordinates of the endpoints of the line can be determined using the formula

$M = \left(\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}\right)$

For the coordinates (-2,5) and (-4,-6)

${x}_{1} = - 2$
${x}_{2} = - 4$
${y}_{1} = 5$
${y}_{2} = - 6$

$\left(\frac{- 2 + \left(- 4\right)}{2} , \frac{5 + \left(- 6\right)}{2}\right)$
$\left(- \frac{6}{2} , - \frac{1}{2}\right)$
$M = \left(- 3 , - \frac{1}{2}\right)$