MathDB
1994 AMC 12 #28

Source:

December 30, 2011
AMC

Problem Statement

In the xyxy-plane, how many lines whose xx-intercept is a positive prime number and whose yy-intercept is a positive integer pass through the point (4,3)(4,3)?
<spanclass=latexbold>(A)</span> 0<spanclass=latexbold>(B)</span> 1<spanclass=latexbold>(C)</span> 2<spanclass=latexbold>(D)</span> 3<spanclass=latexbold>(E)</span> 4 <span class='latex-bold'>(A)</span>\ 0 \qquad<span class='latex-bold'>(B)</span>\ 1 \qquad<span class='latex-bold'>(C)</span>\ 2 \qquad<span class='latex-bold'>(D)</span>\ 3 \qquad<span class='latex-bold'>(E)</span>\ 4