Question

Determine which quadrant the point is located in: (4, -2)

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

Answer 1

The point (4, -2) lies in Quadrant IV because the x-coordinate is positive and the y-coordinate is negative.

Step-by-step explanation:

To determine which quadrant the point (4, -2) is located in, we must remember the order of the quadrants and the sign of the coordinates in each. The four quadrants are labeled counterclockwise starting from the positive x and y-axis intersection as Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.

• In Quadrant I, both x and y coordinates are positive.
• In Quadrant II, x is negative and y is positive.
• In Quadrant III, both x and y coordinates are negative.
• In Quadrant IV, x is positive and y is negative.

Given the point (4, -2), the x-coordinate is positive, and the y-coordinate is negative. Therefore, this point lies in Quadrant IV.