Question

name the quadrant or axis where each point lies.

point a
the x - coordinate is negative and the y - coordinate is negative.
location: (choose one)

point b
the x - coordinate is positive and the y - coordinate is negative.
location: (choose one)

Explanation:

Step1: Recall quadrant rules

In a Cartesian - coordinate system, in the third quadrant, \(x<0\) and \(y < 0\). Since point A has a negative \(x\) - coordinate and a negative \(y\) - coordinate, it lies in the third quadrant.

Step2: Recall quadrant rules for point B

In the fourth quadrant, \(x>0\) and \(y < 0\). Since point B has a positive \(x\) - coordinate and a negative \(y\) - coordinate, it lies in the fourth quadrant.

Answer:

Point A: Third quadrant
Point B: Fourth quadrant