Question

List all the possibilities for the intersection of a line and a plane, draw an example of each... could some one please help..

Answer 1

The intersection can be the empty set, one point, or infinitely many points (the line).
Three scenarios: the line can be parallel to the plane (zero points of intersections), the line can interesect the plane in exactly one point, and the line can be contained in the plane and intersection in every point.