Question

n which quadrant does the point (-24, 15) lie?
A.
Quadrant II
B.
Quadrant IV
C.
Quadrant I
D.
Quadrant III

Answer 1

To determine the quadrant in which the point \((-24, 15)\) lies, we look at the signs of the x-coordinate and the y-coordinate.

- The x-coordinate is \(-24\), which is negative.
- The y-coordinate is \(15\), which is positive.

In the Cartesian coordinate system:

- Quadrant I has positive x and positive y (x > 0, y > 0).
- Quadrant II has negative x and positive y (x < 0, y > 0).
- Quadrant III has negative x and negative y (x < 0, y < 0).
- Quadrant IV has positive x and negative y (x > 0, y < 0).

Since the x-coordinate is negative and the y-coordinate is positive, the point \((-24, 15)\) lies in Quadrant II.

The answer is:
**A. Quadrant II**