Answer :

In an ordered pair [tex]\((x,y)\)[/tex] which represents a point on the Cartesian coordinate system, the first number always indicates the [tex]\(x\)[/tex]-coordinate, and the second number represents the [tex]\(y\)[/tex]-coordinate.

Given the ordered pair [tex]\((2,7)\)[/tex]:

1. The first number in the pair is [tex]\(2\)[/tex].
2. This means [tex]\(2\)[/tex] is the [tex]\(x\)[/tex]-coordinate.
3. The second number in the pair is [tex]\(7\)[/tex].
4. This means [tex]\(7\)[/tex] is the [tex]\(y\)[/tex]-coordinate.

Therefore, the number [tex]\(2\)[/tex] in the ordered pair [tex]\((2,7)\)[/tex] is the [tex]\(x\)[/tex]-coordinate, not the [tex]\(y\)[/tex]-coordinate. The statement that the number [tex]\(2\)[/tex] is the [tex]\(y\)[/tex]-coordinate is false.

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