# How do you find the midpoint of P(2,4) & Q(5,8)?

May 18, 2016

The midpoint $= \left(3.5 , 6\right)$

#### Explanation:

$P \left(2 , 4\right) = \textcolor{b l u e}{{x}_{1} , {y}_{1}}$

$Q \left(5 , 8\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

The midpoint is calculated using formula:
Midpoint $= \left(\textcolor{b l u e}{\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}}\right)$

$= \left(\frac{2 + 5}{2} , \frac{4 + 8}{2}\right)$

$= \left(\frac{7}{2} , \frac{12}{2}\right)$

$= \left(3.5 , 6\right)$