2022 AMC 12B Problem 5

The point (-1, -2) is rotated 270^{\circ} counterclockwise about the point (3, 1). What are the coordinates of its new position?

\textbf{(A) }\ (-3, -4) \qquad \textbf{(B) }\ (0,5) \qquad \textbf{(C) }\ (2,-1) \qquad \textbf{(D) }\ (4,3) \qquad \textbf{(E) }\ (6,-3)

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.