Q: How many points are needed to define a specific line?

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No, 2 points define a line, 3 points define a plane.

No, two points define a line. It takes three points to define a plane.

They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.

line is a group of points

In Newtonian three dimensional space, two points can create a line, three to "define" it. In Einsteins "time-space", a minimum of four points are required.

A line is the shortest distance between two points.

Two distinct (different) points are needed to determine a line.

A line segment has two end points. This is called an line segment.

Any line segment has infinitely many points and each one of them is specific to that line segment.

An infinite set of points can be a microscopically small line segment. An infinite number of points does not mean an infinitely long line.

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Only if the 3 points are all in the same line. Then there are an infinite number of planes.If the 3 points are not all in the same line, then there is only one unique plane that contains them.That's what "define" means.