# How do you find the midpoint of the line segment joining A (-4, 2) and B(8, 5)?

Jun 5, 2016

M(2;3,5)

#### Explanation:

let M the midpoint
${x}_{M} = \frac{- 4 + 8}{2} = 2$
${y}_{M} = \frac{2 + 5}{2} = \frac{7}{2}$
so
M(2;7/2)
M(2;3,5)

Jun 5, 2016

$= \left(2 , 3 \frac{1}{2}\right)$

#### Explanation:

Find the average of the x-values and the average of the y-values.

As a formula this is, $\left(\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}\right)$

This gives the midpoint $\left(x , y\right)$ as $\left(\frac{- 4 + 8}{2} , \frac{2 + 5}{2}\right)$

$= \left(2 , 3 \frac{1}{2}\right)$