How many points does a line have?

Answer 1

a line has to have at least 2 points.

a plane has to have at least 3 points.

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It takes two points to define a unique line in Euclidean space. But every line and every line segment contains infinitely many points. The same is true for planes in Euclidean space. You need at least 3 points to define a unique plane, but every plane containes infinitely many points and infinitely many lines or line segments.