# Problem #2109

 2109 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 $S$? $\text {(A)} 8 \qquad \text {(B)} 20 \qquad \text {(C)} 24 \qquad \text {(D)} 27\qquad \text {(E)}36$ This problem is copyrighted by the American Mathematics Competitions.
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