1. The problem asks to find the distance between the points $A(0,0)$ and $B(-5,-6)$ on the coordinate plane. 2. The distance formula between two points $A(x_1,y_1)$ and $B(x_2,y_2)$ is: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ This formula comes from the Pythagorean theorem, where the distance is the hypotenuse of a right triangle formed by the horizontal and vertical differences. 3. Substitute the coordinates: $$d = \sqrt{(-5 - 0)^2 + (-6 - 0)^2} = \sqrt{(-5)^2 + (-6)^2}$$ 4. Calculate the squares: $$d = \sqrt{25 + 36} = \sqrt{61}$$ 5. Since 61 is a prime number, the distance in simplest radical form is: $$\boxed{\sqrt{61}}$$ This means the distance between the points is $\sqrt{61}$ units.