1. **State the problem:** Find the coordinates of the center of the parallelogram with vertices A(-7, 5), B(6, 5), C(4, -2), and D(-9, -2). 2. **Formula used:** The center (or centroid) of a parallelogram is the midpoint of the diagonal connecting any two opposite vertices. We can use the midpoint formula: $$\text{Midpoint} = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$$ 3. **Choose opposite vertices:** Let's use vertices A(-7, 5) and C(4, -2). 4. **Calculate the midpoint:** $$\left(\frac{-7 + 4}{2}, \frac{5 + (-2)}{2}\right) = \left(\frac{-3}{2}, \frac{3}{2}\right) = (-1.5, 1.5)$$ 5. **Interpretation:** The center of the parallelogram is at the point $(-1.5, 1.5)$. **Final answer:** The coordinates of the center of the parallelogram are $(-1.5, 1.5)$.