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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

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

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30 Nov 2012, 20:00

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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. Answer has to be D.

Attachments

File comment: All three intersection points in three distinct quadrants are visible.

coordinate solution.png [ 11.8 KiB | Viewed 3483 times ]

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

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13 Jul 2014, 18:10

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22 Aug 2015, 00:37

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

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19 Sep 2016, 01:58

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