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kamalakarthi
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Hi kamalakarthi,
Based on the drawing - and the fact that the answer choices are relatively "spread out", you can answer this question 'visually.' We're looking for the X-coordinate values on the line in which Y < 0 (meaning that the Y-coordinate is below the X-axis). That certainly appears to occur somewhere between when X=0 and X=4. There's only one answer that logically matches....
Mathematically, we can prove the correct answer. Two points that we know for certain are on the line are (4, 2) and (-2, -4). We can use those two points to find the Slope of the line:
(Change in Y)/(Change in X) = [2 - (-4)]/[4 - (-2)] = 6/6 = 1. With a slope of 1, we can work "up" or "down" from either of those two co-ordinates. If you word "down" from (4,2), you would hit (3,1), (2,0), (1, -1), (0,-2), etc. Thus, when X < 2, we'll have a Y that is less than 0.
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
