## Geometry: Common Core (15th Edition)

The coordinates of the midpoint of $\overline{AB}$ are $(\frac{3}{2}, \frac{11}{2})$.
The midpoint of $\overline{AB}$ can be found using the following formula: $M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$ The points we are given are $(0, 5)$ and $(3, 6)$. Let's plug these points into the formula: $M = (\frac{0 + 3}{2}, \frac{5 + 6}{2})$ Use addition to simplify: $M = (\frac{3}{2}, \frac{11}{2})$ The coordinates of the midpoint of $\overline{AB}$ are $(\frac{3}{2}, \frac{11}{2})$.