The point (−2, 3) lies in which quadrant?

The correct option is II.

To determine which quadrant the point (-2, 3) lies in, we look at the signs of its coordinates on the Cartesian plane. A coordinate point is represented in the general form:

($x$, $y$)

The two-dimensional coordinate plane is divided into four quadrants based on the signs of these coordinates:

1. Quadrant I: both coordinates are positive ($x>0$, $y>0$).

2. Quadrant II: the x-coordinate is negative and the y-coordinate is positive ($x<0$, $y>0$).

3. Quadrant III: both coordinates are negative ($x<0$, $y<0$).

4. Quadrant IV: the x-coordinate is positive and the y-coordinate is negative ($x>0$, $y<0$).

For the given point (-2, 3):

The x-coordinate is -2, which is negative ($x<0$).

The y-coordinate is 3, which is positive ($y>0$).

Since the x-coordinate is negative and the y-coordinate is positive, the point (-2, 3) lies in Quadrant II.