Question

name the quadrant or axis where each point lies.

Explanation:

Step1: Recall quadrant rules

In a coordinate - plane, quadrant I has positive x and positive y, quadrant II has negative x and positive y, quadrant III has negative x and negative y, quadrant IV has positive x and negative y. Points on x - axis have y = 0 and points on y - axis have x = 0.

Step2: Analyze Point F

Point F has a negative x - coordinate (-4) and a positive y - coordinate (3). So it is in quadrant II.

Step3: Analyze Point M

Point M has a positive x - coordinate (2) and a negative y - coordinate (-3). So it is in quadrant IV.

Step4: Analyze Point N

Point N has a positive x - coordinate (6) and y = 0. So it lies on the x - axis.

Step5: Analyze Point Z

Point Z has a negative x - coordinate (-5) and a negative y - coordinate (-6). So it is in quadrant III.

Answer:

Point F: Quadrant II
Point M: Quadrant IV
Point N: x - axis
Point Z: Quadrant III