In which quadrants do the points (-2, 3) and (3, -2) lie?

Second and Fourth quadrants

We know,

Quadrant I: The upper right quadrant where both x and y are positive.

Quadrant II: The upper left quadrant where x is negative and y is positive.

Quadrant III: The lower left quadrant where both x and y are negative.

Quadrant IV: The lower right quadrant where x is positive and y is negative.

Let's determine in which quadrants the points (-2, 3) and (3, -2) lie:

    Point (-2, 3):
        The x-coordinate (-2) is negative, and the y-coordinate (3) is positive.
        This point is in Quadrant II.

    Point (3, -2):
        The x-coordinate (3) is positive, and the y-coordinate (-2) is negative.
        This point is in Quadrant IV.

So, the point (-2, 3) is in Quadrant II, and the point (3, -2) is in Quadrant IV.