Respuesta :

The given points are (-3,-5) and (4,5). To find the midpoint between these two, we use the following formula.

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

Where,-

[tex]\begin{gathered} x_1=-3,x_2=4 \\ y_1=-5,y_2=5 \end{gathered}[/tex]

Replacing these coordinates in the formula, we have

[tex]\begin{gathered} M=(\frac{-3+4}{2},\frac{-5+5}{2}) \\ M=(\frac{1}{2},\frac{0}{2}) \\ M=(\frac{1}{2},0) \end{gathered}[/tex]

Therefore, the midpoint is (1/2, 0).

Similarly, for the points (-3,8) and (1,-9), we use the same process as we did above.-

[tex]\begin{gathered} M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ M=(\frac{-3+1}{2},\frac{8-9}{2}) \\ M=(\frac{-2}{2},\frac{-1}{2}) \\ M=(-1,-\frac{1}{2}) \end{gathered}[/tex]

Therefore, the midpoint is (-1, -1/2).