Points on the same line can be many different things. In Geometry, they are said to be collinear. Though, usually the given information is linked with another question and a diagram, which would require a different answer.
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Three or more points that lie on the same straight line are called Collinear.
You have to have three or more points to have non-colinear points because any two points determine a line. Noncolinear are NOT on the same line.
Yes. If points are on the same side of a line, they are in a half-plane.
Any two points have to be on some line.
If the point is not on the line, then no they are not collinear. But if that point is on the line, then they are collinear. Points on the same line are collinear. Points not on the same line are not collinear or non collinear.