Line P has a positive slope and a positive y-intercept : GMAT Problem Solving (PS)
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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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Kudos [?]: 5651 [2] , given: 60

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

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30 Nov 2012, 14:38
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35% (medium)

Question Stats:

67% (02:04) correct 33% (00:59) wrong based on 263 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

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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Mike McGarry
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Kudos [?]: 1302 [1] , given: 62

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

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30 Nov 2012, 19:00
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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.
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File comment: All three intersection points in three distinct quadrants are visible.

coordinate solution.png [ 11.8 KiB | Viewed 2729 times ]

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

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

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21 Aug 2015, 23:37
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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19 Sep 2016, 00:58
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Line P has a positive slope and a positive y-intercept   [#permalink] 19 Sep 2016, 00:58
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