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Line Q has the equation 5y – 3x = 45. If Line S is perpendicular to Q

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Line Q has the equation 5y 3x = 45. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line Ss exist? (Note: Intersections on one of the axes do not count.)
(A) 25
(B) 33
(C) 36
(D) 41
(E) 58


For a bank of challenging coordinate geometry problems, as well as the OE to this one, see:
http://magoosh.com/gmat/2014/challengin ... questions/

Mike :-)

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