Which ordered pair lies in Quadrant IV?

Which ordered pair lies in Quadrant IV?

• A. (-2, 3)
• B. (3, -2)
• C. (2, 3)
• D. (-2, -3)

Answer: (B)

Quadrant IV contains points where the x-coordinate is positive and the y-coordinate is negative. So we’re looking for a point to the right of the origin and below the x-axis. The pair with a positive x and a negative y is (3, -2). The other options have either a negative x or a positive y (or both), which places them in a different quadrant: negative x with positive y is Quadrant II, both positive is Quadrant I, and both negative is Quadrant III. So (3, -2) lies in Quadrant IV.

Quadrant IV contains points where the x-coordinate is positive and the y-coordinate is negative. So we’re looking for a point to the right of the origin and below the x-axis. The pair with a positive x and a negative y is (3, -2). The other options have either a negative x or a positive y (or both), which places them in a different quadrant: negative x with positive y is Quadrant II, both positive is Quadrant I, and both negative is Quadrant III. So (3, -2) lies in Quadrant IV.