If you draw it out, this is a 30 second question - no math required.
All that you need to understand is the definition of x- and y-intercept.
For the product of the intercepts to be positive, either they're both positive or both negative. By plotting the point (-2,5) you quickly see that the only way to get two intercepts with the same sign is for the slope to be negative, i.e. our line must go from the top left of (-2,5) to the bottom right of the point.
Looking at the choices:
A) to get from -2,5 to 5,10 we go up and right: eliminate.
B) to get from -2,5 to -3,2 we go down and left: eliminate.
C) to get from -2,5 to -1,7 we go up and right: eliminate.
D) to get from -2,5 to -1,2 we go down and right: winner!
E) to get from -2,5 to -3,1 we go down and left: eliminate.
We also could have solved this playing the "One of these things is not like the others game"; A, B, C and E all give us lines with positive slopes - only D gives us a line with a negative slope. Even if we all that we understand about the question is that slope makes the difference, that's a great reason to select D.
Last edited by
Stuart@KaplanGMAT on Sun Apr 04, 2010 11:30 am, edited 1 time in total.
. No choice but to pick it 
