1. **State the problem:** Find the distance between the points $(0,0)$ and $(-6,5)$. 2. **Formula used:** The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the distance formula: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ 3. **Substitute the points:** Here, $(x_1,y_1) = (0,0)$ and $(x_2,y_2) = (-6,5)$. So, $$d = \sqrt{(-6 - 0)^2 + (5 - 0)^2} = \sqrt{(-6)^2 + 5^2}$$ 4. **Calculate squares:** $$d = \sqrt{36 + 25}$$ 5. **Add inside the square root:** $$d = \sqrt{61}$$ 6. **Final answer:** The distance between the points is $$d = \sqrt{61}$$ This is the exact distance. If you want a decimal approximation, it is about 7.81 units.