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# Lines n and p lie in the xy-plane. Is the slope of line n less than th

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Re: Lines n and p lie in the xy-plane. Is the slope of line n less than th  [#permalink]

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16 May 2018, 06:11
aaronhew wrote:
If you try to gauge the difficulty of this question, would it be a 400-level question, 500-level, 600-level, etc?

Coordinate plane questions tend to be most difficult for me right now. I'm working on my ability to solve these types. So, it would be helpful to be able to gauge the degree of difficulty for problems that trouble me.

This question is fairly difficult.

Given me a chance to rate this question, I would rate it as 700 difficulty level question. Although every question on GMAT CLUB has difficulty level tagged in it.
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Re: Lines n and p lie in the xy-plane. Is the slope of line n less than th  [#permalink]

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11 Jun 2018, 23:49
BANON wrote:
Lines n and p lie in the xy-plane. Is the slope of line n less than the slope of line p ?

(1) Lines n and p intersect at the point (5 , 1).
(2) The y-intercept of line n is greater than the y-intercept of line p.

Statement 1:
Lines n and p intersect at the point (5 , 1)

There can be infinite lines passing through (5,1), we don't know which are lines n & p. Hence we cannot answer the question about their slopes.

Statement 1 alone is Not Sufficient.

Statement 2:
The y-intercept of line n is greater than the y-intercept of line p

The lines can be passing through any quadrant, irrespective of how their y intercepts compare to each other, hence their slopes will vary.

Statement 2 alone is not Sufficient.

Combining the 2 statements.
We have. Two specific lines, passing through point (5,1), with y intercept of one greater than the other.
This is enough information to imagine their slopes.

Combing the 2 statements is Sufficient.

Thanks,
GyM
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Re: Lines n and p lie in the xy-plane. Is the slope of line n less than th  [#permalink]

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02 Jun 2019, 22:01
Statement 1 alone clearly is insufficient as either of the lines can have a higher slope if they intersect at (5,1)...Strike off A and D

Statement 2 alone also is insufficient as if y intercept of one line is greater, that tells nothing about the slope as the 2 lines may be parallel or may intersect on the left side or the right side of y axis. Hence Strike of B too

Statement 1 and 2 together definitely will suffice to find which line has a higher slope as the one which has larger y intercept will have a bigger slope (-y/x). Hence Answer is C
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Re: Lines n and p lie in the xy-plane. Is the slope of line n less than th  [#permalink]

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03 Jun 2019, 00:30
Statement 1 and 2 are not sufficient by their own.

Attachment:

Soln.jpeg [ 143.12 KiB | Viewed 391 times ]

Option C is the correct Answer
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Re: Lines n and p lie in the xy-plane. Is the slope of line n less than th  [#permalink]

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13 Oct 2019, 21:28
3 conditions:
both slopes are positive: Kp>Kn>0
both slopes are negative: Kn<Kp<0
slope of line n is negative and slope of line p is positive: Kn<0<Kp

the slope of n is less than the slope of p (Kn<Kp) in all the three conditions.
Thus, choose C
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Re: Lines n and p lie in the xy-plane. Is the slope of line n less than th  [#permalink]

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27 Nov 2019, 21:15
Hi chetan2u

I see that there are two groups in the above discussion.
I am part of the group that still believes E is the answer.

The y-intercept of line n is greater than the y-intercept of line p.

For example, y-intercept of line n is 6
y-intercept of line P is -19

But if line n can be a downward sloping line while line P could be upward sloping.
In that case, Line P will not have have less slope than Line N?
What am I missing here?
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Re: Lines n and p lie in the xy-plane. Is the slope of line n less than th  [#permalink]

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27 Nov 2019, 21:22
chetan2u,

So the question becomes do the lines need to be in the same direction? How do we know that?
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Re: Lines n and p lie in the xy-plane. Is the slope of line n less than th  [#permalink]

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29 Nov 2019, 17:51
Hello @VeritasKarishma- do the lines need to be in the same direction? How do we know that?

I think I am missing something here.
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Re: Lines n and p lie in the xy-plane. Is the slope of line n less than th  [#permalink]

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25 Dec 2019, 23:37
I agree with you, I have similar doubt and had marked E. Experts please clarify ,by algebra it is coming C as @Bunnel did it right but by Graph approach answer is coming E.

akash7gupta11 wrote:
Hello @VeritasKarishma- do the lines need to be in the same direction? How do we know that?

I think I am missing something here.
Re: Lines n and p lie in the xy-plane. Is the slope of line n less than th   [#permalink] 25 Dec 2019, 23:37

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