1. **State the problem:** Find the midpoint of segment BD where points are B(3, 2) and D(-2, -3). 2. **Formula for midpoint:** The midpoint $M$ of a segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ 3. **Apply the formula:** $$M = \left( \frac{3 + (-2)}{2}, \frac{2 + (-3)}{2} \right) = \left( \frac{3 - 2}{2}, \frac{2 - 3}{2} \right)$$ 4. **Simplify:** $$M = \left( \frac{1}{2}, \frac{-1}{2} \right)$$ 5. **Interpretation:** The midpoint of BD is at coordinates $\left( \frac{1}{2}, -\frac{1}{2} \right)$.