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

Feb 26, 2016

$M = \left(3.5 , - 3\right)$

#### 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,-4) and (5,-2)

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

$\left(\frac{2 + 5}{2} , \frac{- 4 + \left(- 2\right)}{2}\right)$
$\left(\frac{7}{2} , - \frac{6}{2}\right)$
$M = \left(3.5 , - 3\right)$