Question

for the point given in polar coordinates, state the quadrant in which the point lies if it is graphed in a rectangular coordinate system. the coordinate $(-7,-\frac{\pi}{4})$ lies in quadrant $(-7,-\frac{\pi}{4})$

Explanation:

Polar coordinates are $(r, \theta)$. For $(-7, -\frac{\pi}{4})$, $r=-7$ (negative) and $\theta=-\frac{\pi}{4}$ (equivalent to $\frac{7\pi}{4}$, fourth quadrant direction). A negative $r$ means we go opposite to the $\theta$ direction: opposite of fourth quadrant is second quadrant.

Answer:

II