Line is never ending and has direction. It can be any width/height, and can be represented by any length. It can change thicknesses, overlap itself (like swirls) or change direction, but it is always constant.
Shape has a start and a finish, and is usually a complete object. Like a line that is connected at the tips so it has a start and finish, and usually has form and is solid.
Images A and B are lines. They both change thicknesses, and Image B changes direction also. They could be considered shapes (as most lines could) as outlined by shapes.
Images C and D are shapes but Image C could also be considered a line. Image D has no direction, and the thicknesses are too speratic to have it never ending or just be rapidly changing thicknesses. Image C could be considered a very thick line, or a basic shape. Image C is considered a line or shape based on the use and the belief of the viewer.
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