Respuesta :

r3t40

One can observe the midpoint is [tex](-3,1)[/tex].

But in order to verify the observation we must use formula to compute the midpoint of the segment formed by the endpoints.

The formula for such midpoint is [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are endpoints.

Our endpoints are [tex](-5,-3)[/tex] and [tex](-1,5)[/tex], so our midpoint is

[tex](\frac{-5-1}{2}, \frac{-3+5}{2})=\boxed{(-3,1)}[/tex].

Hope this helps.