# What is the midpoint of a segment whose endpoints are (9, -9) and (-3, 7)?

Dec 2, 2016

$\left(3 , - 1\right)$

#### Explanation:

We need to find the midpoint of $\left(9 , - 9\right) \mathmr{and} \left(- 3 , 7\right)$

For that, we use the midpoint formula

color(blue)("Midpoint formula"=(x,y)=((x_1+x_2)/2,(y_1+y_2)/2)

($x \mathmr{and} y$ are the points of the midpoint)

We know that,

color(orange)((9,-9)=(x_1,y_1)

color(orange)((-3,7)=(x_2,y_2)

So the midpoint is

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

$\rightarrow \left(\frac{9 + \left(- 3\right)}{2} , \frac{- 9 + 7}{2}\right)$

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

color(green)(rArr(3,-1)

Therefore, the midpoint is $\left(3 , - 1\right)$