Explanation:

A line is a one-dimensional geometric object that extends infinitely in both directions. It is often represented using a straight line with two endpoints, but in reality, a line contains an infinite number of points. Here's why:

1. Definition of a line: A line is a straight path that extends infinitely in both directions. It has no thickness or width and is often represented using a straight line with two endpoints.

2. Points on a line: Since a line extends infinitely in both directions, it contains an infinite number of points. However, these points cannot be counted individually since there are infinitely many of them.

3. Finite vs. infinite: A finite set is a set that has a specific number of elements, while an infinite set is a set that has an unlimited number of elements. Since a line contains an infinite number of points, it is considered an infinite set.

4. Zero vs. two points: A line cannot contain zero points since it is a continuous path. It must contain at least two points to define its direction and orientation.

Conclusion:

In conclusion, a line contains an infinite number of points since it extends infinitely in both directions. It cannot contain zero points and must contain at least two points to define its direction and orientation.

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