Answer
See solution
Work Step by Step
Part A: x and y must have the same sign (so that the signs cancel out and multiply to a positive number) so x and y are either both in quadrant I or quadrant III
Part B: x and y must have opposite signs in order for the two to multiply to a negative number. Either x can be the negative number and the coordinates fall in quadrant II or y can be the negative value and the coordinates fall in quadrant IV