1. **State the problem:** Find the distance between the points $(9, 5)$ and $(-2, 3)$.\n\n2. **Formula:** The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula:\n$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$\n\n3. **Substitute the values:**\n$$d = \sqrt{(-2 - 9)^2 + (3 - 5)^2}$$\n$$d = \sqrt{(-11)^2 + (-2)^2}$$\n\n4. **Calculate the squares:**\n$$d = \sqrt{121 + 4}$$\n$$d = \sqrt{125}$$\n\n5. **Simplify the square root:**\n$$d = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5\sqrt{5}$$\n\n**Final answer:** The distance between the points is $5\sqrt{5}$.