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10 Jan 2008, 11:27
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Does the line pass through the first quadrant?
I. the line has x-intercept=-1
II. the slope of the line is greater than 1
I went for B until someone mentioned that the slope could be infinitely large and hence a vertical line, so E...is that latter point legitimate as far as the gmat is concerned?
I. the line has x-intercept=-1
II. the slope of the line is greater than 1
I went for B until someone mentioned that the slope could be infinitely large and hence a vertical line, so E...is that latter point legitimate as far as the gmat is concerned?
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10 Jan 2008, 11:40
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We're trying to find out if a line cuts through the first quadrant (top right).
ALL lines with a positive slope will cross through the first quadrant
SOME lines with a negative slope will cross through the first quadrant
I. the line has x-intercept=-1
Tells us that the line crosses the x axis at (-1,0). Whether it passes through the first quadrant depends on it's slope, which we don't have, so this statement is insufficient.
INSUFFICIENT
II. the slope of the line is greater than 1
Tells us that the line has a positive slope, so it WILL pass through the first quadrant.
SUFFICIENT
AnswerB
A vertical line has an undefined slope because slope = rise/run and a vertical line has a run of 0 (and you can't divide by 0) so the slope is undefined. A horizontal line has a slope of 0. The fact that statement 2 says it has a slope greater than 1 tells us it's not a vertical or horizontal line, and that it does cross the first quadrant at some point.
10 Jan 2008, 11:52
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eschn3am
I do not agree with you. The fact that slope of a line is infinity does not mean that the value of the slope does not exit. The slope of the line x=-1 exits and is greater than 1 and it doesn't cross quadrant I. OA should be E.
