The midpoint formula is ([tex] \frac{x1 + x2}{2} [/tex] , [tex] \frac{y1 + y2}{2} [/tex]).
Plug in the points into the formula.
([tex] \frac{0 + (-4)}{2} [/tex], [tex] \frac{4 + (-12)}{2} [/tex])
([tex] \frac{-4}{2} [/tex], [tex] \frac{-8}{2} [/tex])
(-2, -4)
The midpoint is (-2, -4).