Question

Which of the statements about the point (4 , 9) are true?

I. The x-coordinate is 4.
II. The y-coordinate is 4.
III. The point is 4 units from the x-axis.
IV. The point is 9 units from the x-axis.

Answer 1

The true statements about the point (4, 9) are that the x-coordinate is 4, and the point is 9 units from the x-axis, making statements I and IV true, while II and III are false.

Step-by-step explanation:

The statement about the point (4, 9) being analyzed for its truth includes aspects about its x-coordinate and y-coordinate, as well as its distance from the x-axis. The correct assessment of these statements is as follows:

• I. The x-coordinate is 4. This statement is true because the first number in the ordered pair (4,9) represents the x-coordinate.
• II. The y-coordinate is 4. This statement is false; the y-coordinate is actually 9, as indicated by the second number in the ordered pair.
• III. The point is 4 units from the x-axis. This statement is false. The point (4,9) is 9 units from the x-axis, not 4 units.
• IV. The point is 9 units from the x-axis. This statement is true because the y-coordinate gives the distance from the x-axis in the plane.