Answer
$x = 0$
See graph below
Work Step by Step
The question asks for a graph of the polar equation and to convert the equation into rectangular coordinates
Given $θ = -\frac{\pi}{2}$
The graph consists of all points of which the θ-coordinate is $-\frac{\pi}{2}$, which is at the polar axis. See graph below.
To convert the equation into rectangular coordinates, the following equation can be used:
$\cot θ = \frac{x}{y}$
So $θ = -\frac{\pi}{2}$
$\cot θ = \cot -\frac{\pi}{2}$
$\frac{x}{y} = 0$
$x = 0$
