Question

In the xy-plane, the point (0,2) is on the curve. If for the curve, which of the following statements is true?

a) x = 0
b) y = 2
c) x = 2
d) y = 0

Answer 1

The statement b) y = 2 is true for the point (0,2) on the curve in the xy-plane, as it indicates the y-coordinate of that point.

Step-by-step explanation:

The correct answer to the question is b) y = 2, which indicates the y-coordinate of the point (0,2) on the curve in the xy-plane.

In coordinate geometry, a point is represented by a pair of coordinates (x, y). The point (0,2) specifically means that the x-coordinate is 0 and the y-coordinate is 2. Therefore, the statement that reflects a true characteristic of the point (0,2) is "y = 2". This means that no matter where the point is on the xy-plane, as long as it is at (0,2), its y-coordinate will always be 2. This is a basic concept of the Cartesian coordinate system where the first coordinate represents the horizontal position (x), and the second coordinate represents the vertical position (y).

Step by step explanation: When examining the coordinates of a point:

1. Identify the x-coordinate (the first number in the pair).
2. Identify the y-coordinate (the second number in the pair).
3. Match the appropriate coordinate with the statements provided. The correct statement will directly relate to the point in question.