27. In the xy-plane shown, which of the following are the coordinates of point A?
Answer: D
The coordinates of point A are (0, -4).
Point A is located at the coordinates (0, -4), which indicates it is on the y-axis, 4 units below the origin.
A) (4, 0)
This option represents a point located on the x-axis, 4 units to the right of the origin. Since point A is specified to be on the y-axis, this option is incorrect.
B) (0, 4)
This choice indicates a point on the y-axis, 4 units above the origin. While it is on the correct axis, it does not match the specified coordinates of point A, making this option incorrect.
C) (-4, 0)
This option shows a point on the x-axis, 4 units to the left of the origin. As point A must be on the y-axis, this option is also incorrect.
D) (0, -4)
This is the correct option as it accurately represents point A being located on the y-axis, 4 units below the origin, which aligns perfectly with the given answer.
Conclusion
The coordinates of point A are definitively (0, -4) because it is the only option that correctly places the point on the y-axis, 4 units downward from the origin. All other options fail to meet the criteria set for point A's location in the xy-plane.