Yes, and they are called endpoints.
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Typically, a line is named with two points on the line.
Because a place can rotate around those two points as long as the line in on the plane. Two points defines a line. A plane requires 3 points.
False ( apex )
This is simply called a line. <---------------O-------------------------------O----------------------> But this is called a line segment: O-------------------------------------------O
Any two points have to be on some line.