1. **Find the distance between the points (-2, 0) and (4, 5).** The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ 2. Substitute the given points: $$d = \sqrt{(4 - (-2))^2 + (5 - 0)^2} = \sqrt{(4 + 2)^2 + 5^2}$$ 3. Simplify inside the square root: $$d = \sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61}$$ 4. The distance between the points is: $$\boxed{\sqrt{61}}$$