How do you find the midpoint of (-2,2), (4,10)?

Apr 1, 2018

Midpoint of $\overline{A B} = M \left(1 , 6\right)$

Explanation:

The midpoint of $A \left({x}_{1} , {y}_{1}\right) \mathmr{and} B \left({x}_{2} , {y}_{2}\right)$ is

$M \left(\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}\right)$.

We have , $A \left(- 2 , 2\right) \mathmr{and} B \left(4 , 10\right)$

So,

Midpoint of $\overline{A B} = M \left(\frac{- 2 + 4}{2} , \frac{2 + 10}{2}\right)$

i.e.Midpoint of $\overline{A B} = M \left(1 , 6\right)$