Point D is located at coordinates (4, -2) on the cartesian plane. Which of the following statements about Point D are correct?The X-coordinate of Point D is 4.The Y-coordinate of Point D is -2.Point D is on Y axis.The coordinates of point D form an ordered pair.
Question
Point D is located at coordinates (4, -2) on the cartesian plane. Which of the following statements about Point D are correct?The X-coordinate of Point D is 4.The Y-coordinate of Point D is -2.Point D is on Y axis.The coordinates of point D form an ordered pair.
Solution 1
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The X-coordinate of Point D is 4: This statement is correct. In the coordinate pair (4, -2), the first number represents the x-coordinate, which is indeed 4.
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The Y-coordinate of Point D is -2: This statement is also correct. In the coordinate pair (4, -2), the second number represents the y-coordinate, which is -2.
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Point D is on the Y axis: This statement is incorrect. A point is on the Y axis if its x-coordinate is 0. Since the x-coordinate of Point D is 4, not 0, Point D is not on the Y axis.
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The coordinates of point D form an ordered pair: This statement is correct. An ordered pair is a pair of numbers used to locate a point on a coordinate plane. The coordinates of Point D, (4, -2), indeed form an ordered pair.
Solution 2
The following statements about Point D are correct:
- The X-coordinate of Point D is 4.
- The Y-coordinate of Point D is -2.
- The coordinates of point D form an ordered pair.
The statement that Point D is on the Y axis is incorrect. For a point to be on the Y axis, its X-coordinate must be 0. In this case, the X-coordinate of Point D is 4, not 0. Therefore, Point D is not on the Y axis.
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