Respuesta :

Answer:

(0.5,-2.5)

Explanation:

Given a line segment AB where the coordinates of A and B are:

[tex]A(x_1,y_1)\text{ and }B(x_2,y_2)[/tex]

The midpoint of AB is determined using the formula:

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

Therefore for Point A(-1, -9) and point B(2, 4), the midpoint of AB is:

[tex]\begin{gathered} \text{Midpoint of AB}=(\frac{-1+2}{2},\frac{-9+4}{2}) \\ =(\frac{1}{2},-\frac{5}{2}) \\ =(0.5,-2.5) \end{gathered}[/tex]

The midpoint of line segment AB is (0.5,-2.5)