# How do you find the midpoint of the line segment joining (7,5) and (11,19)?

Jun 7, 2016

The midpoint of a line is given by $\left(\frac{{x}_{2} + {x}_{1}}{2} , \frac{{y}_{2} + {y}_{1}}{2}\right)$

#### Explanation:

$\left(\frac{7 + 11}{2} , \frac{5 + 19}{2}\right)$

$= \left(\frac{18}{2} , \frac{24}{2}\right)$

$= \left(9 , 12\right)$

Therefore, the midpoint of the line segment connecting $\left(7 , 5\right)$ and $\left(11 , 19\right)$ is $\left(9 , 12\right)$.

Hopefully this helps!