# How do you find the midpoint of (5, 2) and (8,-7)?

Feb 13, 2016

$\left(\frac{13}{2} , - \frac{5}{2}\right)$

#### Explanation:

use the mid-point formula

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

here let (x_1 , y_1) = (5 , 2 )color(black)(" and (x_2 , y_2) = (8 , -7)
now substitute these values into the formula.

$= \left[\frac{1}{2} \left(5 + 8\right) , \frac{1}{2} \left(2 - 7\right)\right] = \left(\frac{13}{2} , - \frac{5}{2}\right)$