# How do you find the midpoint of the segment with the endpoints (2/3,9/2) and (1/3, 11/2)?

Aug 1, 2017

$\left(\frac{1}{2} , 5\right)$

#### Explanation:

$\text{the coordinates of the midpoint are the average of the}$
$\text{coordinates of the endpoints}$

${x}_{\textcolor{red}{\text{midpoint}}} = \frac{1}{2} \left(\frac{2}{3} + \frac{1}{3}\right) = \frac{1}{2}$

${y}_{\textcolor{red}{\text{midpoint}}} = \frac{1}{2} \left(\frac{9}{2} + \frac{11}{2}\right) = 5$

$\Rightarrow \text{the midpoint } = \left(\frac{1}{2} , 5\right)$