1997 AHSME Problem 12

If m and b are real numbers and mb>0, then the line whose equation is y=mx+b *cannot* contain the point

\textbf{(A)}\ (0,1997)\qquad\textbf{(B)}\ (0,-1997)\qquad\textbf{(C)}\ (19,97)\qquad\textbf{(D)}\ (19,-97)\qquad\textbf{(E)}\ (1997,0)

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.