# How do you find the midpoint of (5,-10), (5,8)?

Feb 27, 2017

$\left(5 , - 1\right)$

#### Explanation:

The midpoint of a segment with endpoints A = (x₁, y₁) and B = (x₂, y₂) has coordinates :
[(x₁ + x₂) /2 , (y₁ + y₂)/2]

So in this case:
$\left(5 , - 10\right) , \left(5 , 8\right)$
midpoint is at:
$\left[\frac{5 + 5}{2} , \frac{- 10 + 8}{2}\right]$
$= \left(\frac{10}{2} , - \frac{2}{2}\right)$
$= \left(5 , - 1\right)$