In order to find the midpoint between two points, we need to calculate the average between the x-coordinates and the average between the y-coordinates. Then, these averages will be the coordinates of the midpoint.
So we have that:
X-coordinate:
[tex]\frac{-4+6}{2}=\frac{2}{2}=1[/tex]Y-coordinate:
[tex]\frac{3+(-9)}{2}=\frac{-6}{2}=-3[/tex]So the midpoint is (1, -3)