Respuesta :

Given points A and B, we know that the general rule to find the midpoint is:

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

In this case, since A=(-3,-9) and B=(-4,6), we get:

[tex]\begin{gathered} M(A,B)=(\frac{-3-4}{2},\frac{-9+6}{2}) \\ \Rightarrow M(A,B)=(-\frac{7}{2},-\frac{3}{2}) \end{gathered}[/tex]

Therefore, the midpoint is (-7/2,-3/2)