Normally a straight line has infinitely many points. It is only in one case of projective geometry that lines have two points.
One point cannot make a line or even a piece of a line. You need at least two points (in projective geometry) and infinitely many in classic geometry.
In Euclidian or plane geometry, there can be only one line through two fixed points. Lines cannot actually be drawn; if you see it it is not a geometric line. If the points are on a curved surface as in a geometry that is non-Euclidian, then there can be infinitely many lines connecting two points.
In Euclidean geometry, they can only intersect in 0, 1 or infinitely many points. If there are two points of intersection then the whole line lies in the plane.
None. In ordinary geometry, a line contains an infinite number of points and, by definition, they are all collinear. In projective geometry, however, you can have three lines in the form of a triangle. Each line has only two points on it, so it cannot have 3 points collinear.
There are many different lines in geometry
A straight line, a curve, a plane. Probably many more options.
In geometry, a line has no endpoints. If you are referring to a non-geometry application, a line has 2 endpoints.
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.
In ordinary geometry, no. Any ray will have infinitely many points.
A line has an infinite amount of points.
In plane geometry a line is a two dimentional object between two points. If a line or a point is not on the line it, by definition, does not contain them. The answer therefor is infinite. Unless it is a closed line which has a slightly different definition but the answer is the same.