# How do you find the midpoint of the line segment joining (10,12) (6,9)?

Aug 1, 2016

$\left(8 , \frac{21}{2}\right)$

#### Explanation:

The x-coordinate of the midpoint is the average of the x-coordinates and the y-coordinate of the midpoint is the average of the y-coordinates.

$\Rightarrow {x}_{M} = \frac{1}{2} \left(10 + 6\right) = 8$

and ${y}_{M} = \frac{1}{2} \left(12 + 9\right) = \frac{21}{2}$

$\Rightarrow \text{ midpoint at } \left(8 , \frac{21}{2}\right)$