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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]

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Question Stats:

67% (01:05) correct 33% (01:02) wrong based on 356 sessions

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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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Kudos [?]: 8419 [2], given: 102

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Re: Line P has a positive slope and a positive y-intercept [#permalink]

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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 3483 times ]


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Kudos [?]: 1674 [1], given: 62

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Re: Line P has a positive slope and a positive y-intercept [#permalink]

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New post 13 Jul 2014, 18:10
Hello from the GMAT Club BumpBot!

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Re: Line P has a positive slope and a positive y-intercept [#permalink]

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New post 22 Aug 2015, 00:37
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Line P has a positive slope and a positive y-intercept [#permalink]

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New post 19 Sep 2016, 01:58
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Line P has a positive slope and a positive y-intercept [#permalink]

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New post 15 Dec 2016, 09:38
answer should be D as y-intercepts are +ve then there is no case in which the will intersect in 4th qua.

Kudos [?]: 25 [0], given: 88

Re: Line P has a positive slope and a positive y-intercept   [#permalink] 15 Dec 2016, 09:38
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Line P has a positive slope and a positive y-intercept

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