In the xy-plane shown, which of the following are the coordinates of point A?

Rationale

(0, -4)

Point A is located at the coordinates (0, -4), which indicates that it lies on the y-axis, specifically 4 units below the origin in the negative direction. This position is accurately represented by the provided coordinates.

A ((4, 0)) YOUR ANSWER

The coordinates (4, 0) indicate a point that lies on the positive x-axis, 4 units to the right of the origin. This does not match the location of point A, which is situated on the y-axis.

B ((0, 4)) YOUR ANSWER

The coordinates (0, 4) represent a point on the positive y-axis, 4 units above the origin. This is the opposite vertical direction from point A, which is located 4 units below the origin.

C ((-4, 0)) YOUR ANSWER

The coordinates (-4, 0) describe a point on the negative x-axis, 4 units to the left of the origin. This differs from point A's specified location on the y-axis and therefore cannot be the correct answer.

D ((0, -4)) CORRECT

The coordinates (0, -4) accurately reflect point A's location on the y-axis, 4 units down from the origin. This position is specifically mentioned in the question and confirms its accuracy.

Conclusion

The coordinates of point A are given as (0, -4), placing it directly on the y-axis in the negative direction. Each of the other choices represents points on different axes or at different locations entirely, confirming that (0, -4) is the unique correct answer for point A's coordinates.

In the xy-plane shown, which of the following are the coordinates of point A?

(0, -4)

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