AMC 12 2004a 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 $S$?

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