# How do you find the midpoint of p(4,7) Q (5,11)?

Jul 4, 2016

The midpoint of $p Q = \left(4.5 , 9\right)$

#### Explanation:

The equation for the Midpoint is $\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}$

For the points $p \left(4 , 7\right) \mathmr{and} Q \left(5 , 11\right)$

${x}_{1} = 4$
${x}_{2} = - 5$
${y}_{1} = 7$
${y}_{2} = 11$

$\frac{4 + 5}{2} , \frac{7 + 11}{2}$

$\frac{9}{2} , \frac{18}{2}$

$\left(4.5 , 9\right)$

The midpoint of $p Q = \left(4.5 , 9\right)$