# How do you find the midpoint of G(-2,-8) and H(-3,-12)?

Mar 11, 2016

$M = \left(- 2.5 , - 10\right)$

#### 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,-8) and (-3,-12)

${x}_{1} = - 2$
${x}_{2} = - 3$
${y}_{1} = - 8$
${y}_{2} = - 12$

$\left(\frac{- 2 + \left(- 3\right)}{2} , \frac{- 8 + \left(- 12\right)}{2}\right)$
$\left(- \frac{5}{2} , - \frac{20}{2}\right)$
$M = \left(- 2.5 , - 10\right)$