Answer
Please see below.
Work Step by Step
To plot the point $(r, \theta )=(-1, \frac{3\pi }{2} )$, begin with the $\frac{3\pi }{2}$ angle. Because $\frac{3\pi }{2}$ is a positive angle, draw $\theta = \frac{3\pi }{2}$ counterclockwise from the polar axis. Now consider $r=-1$. Because $r \lt 0$, plot the point by going out one unit along the ray opposite the terminal side of $\theta$.
