# What is the equation for the midpoint between a point and any given point on a line?

Jun 12, 2018

$\text{see explanation}$

#### Explanation:

$\text{given the endpoints of a line}$

$\left({x}_{1} , {y}_{1}\right) \text{ and } \left({x}_{2} , {y}_{2}\right)$

$\text{then the midpoint is the average of the coordinates}$
$\text{of the endpoints}$

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