Question

An axiom in Euclidean geometry states that in space, there are at least points that do

Answer 1

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In the Euclidean geometry all theorems are obtained from several axioms. One of these axioms is that there are three points on any line. The axiom postulates the following: "To draw a straight line from any point to any point." . According to these there are 2 points, and in order to have a line one more point must be between them.
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Answer 2

An axiom in Euclidean geometry states that in space, there are 2 points that lie on the same line.

This is called the two-point postulate. According to Euclidean geometry, in space, there are at least two points, and through these points, there exists exactly one line. This means that there is only one single line that could pass between any two points. This is a mathematical truth. It is known as an axiom because an axiom refers to a principle that is accepted as a truth without the need for proof.