2. How many positive integers $n$ are there such that the line passing through points $A(-n, 0)$ and $B(0, 2)$ on the coordinate plane also passes through point $P(7, k)$, where $k$ is a positive integer?\\
(1) 2\\
(2) 4\\
(3) 6\\
(4) 8\\
(5) Infinitely many