A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one plane.
Through any 2 points there is exactly one line
Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane.
If two points are in a plane than the line that contains the two points is in that plane.
if two planes intersect, then their intersection is a line.
If two lines intersect then they intersect in exactly one point.
Through a line and a point not in the line there is exactly one plane.
If two lines intersect, then exactly one plane contains the lines.