Graph the sets of points whose polar coordinates satisfy the given polar equation. The given...

Description:
Consider the polar coordinates as ${\displaystyle P(r.\theta )}$.
Here, r is the directed distance from origin Oto point Pand ${\displaystyle \theta }$ is the directed angle from initial ray to OP.
From the given equation, the range of r is from —2 to ${\displaystyle —\propto }$ and 0s fixed at ${\displaystyle \frac{2\pi }{3}}$. Therefore, the polar point traces a straight line at an angle of ${\displaystyle \frac{2\pi }{3}}$ from the initial ray (x-axis) and the line also satisfies the range of r.
From the analysis, draw the sets of points whose polar coordinates satisfy the given polar equation as shown in Figure 1.
${\displaystyle \theta =\frac{2\pi }{3},}$
${\displaystyle r\le -2}$