Question

for the point shown in the xy-plane, write the corresponding ordered pair and name the quadrant in which it lies or the axis on which it lies. the ordered pair associated with the given point is (0, -6). (type an ordered pair.)

Explanation:

Step1: Recall axis definitions

In the xy - plane, a point on the y - axis has an x - coordinate of 0. The given point has an x - coordinate of 0 and a y - coordinate of - 6.

Step2: Determine the location

Points on the y - axis are defined as having \(x = 0\). Since the x - coordinate of the point \((0,-6)\) is 0, it lies on the y - axis. Also, since the y - coordinate is negative, it is on the negative y - axis.

Answer:

The ordered pair is \((0, - 6)\) and it lies on the y - axis (specifically the negative y - axis).