Respuesta :

Answer:

The final answer for the midpoint:

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

Step-by-step explanation:

-Use the midpoint formula in order to find the midpoint:

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

-Next, use both points [tex]( -1, -6)[/tex] and [tex](-3, 4)[/tex] for the equation:

[tex]m = (\frac{-1-3}{2}, \frac{-6+4} {2})[/tex]

-Then, you solve:

[tex]m = (\frac{-1-3}{2}, \frac{-6+4} {2})[/tex]

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

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

So, the final answer for the midpoint is [tex]m = (-2, -1)[/tex].