Question

Which of the statements about the y-coordinate are true?

I. The y-coordinate describes the horizontal distance from the origin.
II. The y-coordinate is the first coordinate in an ordered pair.
III. The y-coordinate is the second coordinate in an ordered pair.
IV. The y-coordinate describes the vertical distance from the origin.
A. I only
B. IV only
C. I and II
D. III and IV

Answer 1

The y-coordinate represents the vertical position of a point and is the second coordinate in an ordered pair, making statements III and IV true.

Step-by-step explanation:

When dealing with a rectangular (Cartesian) coordinate system, the y-coordinate is crucial for describing the location of a point in a plane. The y-coordinate actually represents the vertical position of a point relative to the origin. Specifically, in an ordered pair, the y-coordinate is always the second coordinate that shows the displacement vertically upward or downward from the origin. If the y-coordinate is positive, the point lies above the x-axis; if it is negative, the point is below the x-axis.

The correct answer to the question is:

• III. The y-coordinate is the second coordinate in an ordered pair.
• IV. The y-coordinate describes the vertical distance from the origin.

Therefore, the correct option is:

D. III and IV