Question

In the xy-plane, the y-axis contains all ordered pairs such that:

A. The y-coordinate is 0.
B. The x-coordinate is 0.
C. The x and y-coordinates are 0.
D. None of the above.

Answer 1

The y-axis in the xy-plane contains all ordered pairs where the x-coordinate is 0, as all points on the y-axis are directly above or below the origin.

Step-by-step explanation:

In the xy-plane, the y-axis contains all ordered pairs such that the x-coordinate is 0.

This is because each point on the y-axis is directly above or below the origin, which is the point where the x-axis and y-axis intersect and is denoted by (0, 0).

Therefore, every point on the y-axis can be represented by an ordered pair (0, y), where 'y' can be any real number representing the position along the y-axis, either above or below the origin.