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Line P has a positive slope and a positive y-intercept

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Magoosh GMAT Instructor
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Line P has a positive slope and a positive y-intercept [#permalink] New post 30 Nov 2012, 14:38
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Question Stats:

74% (01:49) correct 24% (00:54) wrong based on 56 sessions
Line P has a positive slope and a positive y-intercept. Line Q also has a positive slope and a positive y-intercept. The two slopes and the two y-intercepts are four different numbers, none equal. Lines P & Q have a single intersection point — what is the full set of possible quadrants in which the intersection point could be?

(A) I only
(B) I & III only
(C) I & II only
(D) I & II & III only
(E) all four quadrants possible


For a full discussion of lines in the x-y plane and of this question in particular, see this blog:
http://magoosh.com/gmat/2012/gmat-math- ... lar-lines/
[Reveal] Spoiler: OA

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Re: Line P has a positive slope and a positive y-intercept [#permalink] New post 30 Nov 2012, 19:00
Expert's post
The intersection point cant be in fourth quadrant in that it is given that both the lines have positive slopes.
For the intersection point to be in fourth quadrant, the lines need to have a NEGATIVE Y INTERCEPT.

The intersection point will lie in I, II and III quadrant but not in IV quadrant.
Answer has to be D.
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File comment: All three intersection points in three distinct quadrants are visible.
coordinate solution.png
coordinate solution.png [ 11.8 KiB | Viewed 770 times ]


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Re: Line P has a positive slope and a positive y-intercept [#permalink] New post 13 Jul 2014, 17:10
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Re: Line P has a positive slope and a positive y-intercept   [#permalink] 13 Jul 2014, 17:10
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Line P has a positive slope and a positive y-intercept

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