Answer
$$\left(-\frac{1}{2},\:\frac{21}{2}\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(1-\left(-2\right)\right)^2+\left(14-7\right)^2}\\ \sqrt{58}$$
Using the midpoint formula, we find:
$$\left(\frac{1-2}{2},\:\frac{14+7}{2}\right)\\ \left(-\frac{1}{2},\:\frac{21}{2}\right)$$