In which quadrant does the point (-3, 2) lie on the Cartesian plane?

• A. Quadrant I
• B. Quadrant II
• C. Quadrant III
• D. Quadrant IV

Answer: (B)

To determine the quadrant in which the point (-3, 2) lies, we analyze the signs of the x-coordinate and the y-coordinate.

The x-coordinate is -3, which is negative, and the y-coordinate is 2, which is positive. In the Cartesian plane, the quadrants are defined based on the signs of the coordinates:

• Quadrant I contains points where both x and y are positive.

• Quadrant II contains points where x is negative and y is positive.

• Quadrant III contains points where both x and y are negative.

• Quadrant IV contains points where x is positive and y is negative.

Since the given point has a negative x-coordinate and a positive y-coordinate, it falls into Quadrant II. This consistent rule about the signs of the coordinates helps identify which quadrant a point belongs to easily.