Answer
$$\left(-\frac{1}{2},\:\frac{1}{2}\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(2-\left(-3\right)\right)^2+\left(5-\left(-4\right)\right)^2}\\ \sqrt{106}$$
Using the midpoint formula, we find:
$$\left(\frac{2-3}{2},\:\frac{5-4}{2}\right)\\ \left(-\frac{1}{2},\:\frac{1}{2}\right)$$