Respuesta :

To find the midpoint, you should use the midpoint formula. The midpoint formula takes the x values of two points and averages it. The same is done for the y values to get a midpoint.

[ 4 + (-10) ] / 2 = -3

[ (-4) + 6 ] /2 = 1

Your midpoint is (-3, 1.)

Hey There @Zarias5,

[tex] \text {The midpoint is located at \boxed{(-3,1)}} [/tex]

Explanation

Use the midpoint formula in order to determine the midpoint:

[tex] (\frac{x_{1} + x_{2}}{2} , \frac{y_{1} + y_{2}}{2}) [/tex]

Plug in the numbers into the formula.

[tex] (\frac{4{} + -10{}}{2} , \frac{-4 + 6_{}}{2}) [/tex]

Calculate.

4 + -10 [tex]\div[/tex] 2 = -3

-4 + 6 [tex]\div[/tex] 2 = 1

Hence, the midpoint is located at [tex] ( -3,1) [/tex]