AMC 12 2005a Problem 12

A line passes through $A(1,1)$ and $B(100,1000)$. How many other points with integer coordinates are on the line and strictly between $A$ and $B$?

$\textbf{(A) } 0 \textbf{(B) } 2 \textbf{(C) } 3 \textbf{(D) } 8 \textbf{(E) } 9$