Respuesta :

Answer:

(6,-2.5)

Step-by-step explanation:

The formula for the midpoint between two points is:

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

Now we substitute

We have than (9, -1) is [tex](x_{1}, y_{1})[/tex] and (3, - 4) is [tex](x_{2}, y_{2})[/tex]

So:

[tex](\frac{(9) + (3)}{2},\frac{(-1)+(-4)}{2})\\\\(-1) + (-4) = -5\\9 + 3 = 12\\[/tex]

So, we have:

[tex](\frac{12}{2}, \frac{-5}{2})\\\\12 / 2 = 6\\-5 / 2 = -2.5\\\\(6, -2.5)[/tex]

(6,-2.5)

I can do a graphic explanation if you want.