Respuesta :

Answer:

[tex]M=(1,-2)[/tex]

Step-by-step explanation:

Start with the midpoint formula:

[tex]M=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]

Identify your values:

[tex]x_1=-2\\x_2=4\\y_1=2\\y_2=-6[/tex]

Substitute:

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

Combine terms:

[tex]M=(\frac{2}{2},\frac{-4}{2} )[/tex]

Simplify:

[tex]M=(1,-2)[/tex]