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16 Oct 2012, 23:49
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
77% (01:34) correct
23%
(01:24)
wrong
based on 825
sessions
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Lines P, Q and R are parallel to each other. Is the slope of the line P positive?
(1) Line R passed through (6, 2).
(2) Line P and Q passes through (–6, 2) and (–6, –2) respectively.
when I saw that the stmt (2) gives us a line parallel to y-axis i marked B as sufficient. Doesnt such a line have 'infinite slope'. I was confused if this information is sufficient. Please advise.
(1) Line R passed through (6, 2).
(2) Line P and Q passes through (–6, 2) and (–6, –2) respectively.
when I saw that the stmt (2) gives us a line parallel to y-axis i marked B as sufficient. Doesnt such a line have 'infinite slope'. I was confused if this information is sufficient. Please advise.
17 Oct 2012, 00:45
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vinay911
In statement (2), the equation of the line is x = -6.
A line parallel to the Y-axis has no slope, "infinity" is not a specific number.
Think of a line with negative slope, passing through the point (-6, -2). Start tilting it until it will also pass through the point (-6, 2). All the time, the slope of the line has been negative, then, when reaching the point (-6, 2) ... it just "vanished" ... no slope.
Do the similar process, starting with a line with positive slope, passing through the point (-6, -2) and tilt it until it also passes through the point (-6, 2). Now, all the time, the slope has been positive, before it "disappeared"...
It seems like the slope could be any "infinitely" large positive number, or any "infinitely" small negative number. Maybe this could be a reason to answer E.
Anyway, it is weird to ask about something non-existent whether it is positive or negative.
I hope there are no such questions on a real test.
17 Oct 2012, 05:39
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GMATBaumgartner
Statement (2) means that line P passes through (–6, 2) and line Q passes through (–6, –2), not that each line passes through both points (though I agree that it cold have been worded better).
Now, when we consider the two statements together we just know that: line R passed through (6, 2), line P passes through (–6, 2) and line Q passes through (–6, –2) plus that these lines are parallel. Clearly, the slope of line P can be positive as well as negative. Not sufficient.
Answer: E.
