The given points are A(-4, 2) and B(1, -4)
In order to get the specific midpoint of a line, we use the next formula:
[tex]\begin{gathered} x_0=\frac{x_1+x_2}{2} \\ y_0=\frac{y_1+y_2}{2} \end{gathered}[/tex]Where x0 and y0 belongs to the midpoint M(x0, y0). Now, we substitute our given coordinates:
[tex]\begin{gathered} x_0=\frac{-4+1}{2}=-\frac{3}{2} \\ y_0=\frac{2+(-4)}{2}=-\frac{2}{2}=-1 \\ M(-\frac{3}{2},-1) \end{gathered}[/tex]