2004 AMC 12A Problem 13

Let S be the set of points (a,b) in the coordinate plane, where each of a and b may be - 1, 0, or 1. How many distinct lines pass through at least two members of S?

\text {(A) } 8 \qquad \text {(B) } 20 \qquad \text {(C) } 24 \qquad \text {(D) } 27\qquad \text {(E) }36

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