We have two points and we have to calculate the midpoint.
The coordinates of the midpoint are the average of the coordinates of the two points.
In this case, we have B=(-1, 6) and D=(9, 4), so we can calculate the coordinates of the midpoint M as:
[tex]x=\frac{x_B+x_D}{2}=\frac{-1+9}{2}=\frac{8}{2}=4[/tex][tex]y=\frac{y_B+y_D}{2}=\frac{6+4}{2}=\frac{10}{2}=5[/tex]So the coordinates of the midpoint between B and D is (4, 5).
We can graph it so we can see it: