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 values, Quadrant II has negative x and positive y values, Quadrant III has negative x and negative y values, Quadrant IV has positive x and negative y values. Points on the x - axis have y = 0 and points on the y - axis have x = 0.

Step2: Analyze Point B

Point B has x - coordinate 0 and non - zero y - coordinate, so it lies on the y - axis.

Step3: Analyze Point M

Point M has positive x and positive y values, so it lies in Quadrant I.

Step4: Analyze Point P

Point P has negative x and positive y values, so it lies in Quadrant II.

Step5: Analyze Point Z

Point Z has positive x and negative y values, so it lies in Quadrant IV.

Answer:

Point B: y - axis
Point M: Quadrant I
Point P: Quadrant II
Point Z: Quadrant IV