# How do you find the midpoint between (9,3), (6,-6)?

Jul 22, 2016

The midpoint is $\left(7.5 , - 3\right)$

#### Explanation:

The midpoint formula is $\left(\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}\right)$

For the points $\left(9 , 3\right)$ and $\left(6 , - 6\right)$

${x}_{1} = 9$
${y}_{1} = 3$
${x}_{2} = 6$
${y}_{2} = - 6$

$\left(\frac{9 + 6}{2} , \frac{3 + \left(- 6\right)}{2}\right)$

$\left(\frac{15}{2} , - \frac{6}{2}\right)$

The midpoint is
$\left(7.5 , - 3\right)$