Answer
$\left(2,\frac{3\pi}{2}\right)$
Work Step by Step
The point (0,-2) lies on the y-axis a distance of 2 units from the pole (origin), so $r=2$
A ray with vertex at the pole through (0,-2) forms an angle $\theta=\frac{3\pi}{2}$ with the polar axis.
The polar coordinates for this point can be given by $(2,\frac{3\pi}{2})$.
