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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # In the xy-plane, line n is a line that passes through t  Question banks Downloads My Bookmarks Reviews Important topics
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TAGS: Founder  Joined: 18 Apr 2015
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In the xy-plane, line n is a line that passes through t [#permalink]
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Expert's post 00:00

Question Stats: 35% (01:17) correct 64% (01:15) wrong based on 84 sessions

In the xy-plane, line n is a line that passes through the origin.

Which of the following statements individually provide(s) sufficient addi­tional information to determine whether the slope of line n is greater than 1 ?

Indicate all such statements.

❑ Line n does not pass through any point (a, b) where a and b are posi­tive and a > b.

❑ Line m is perpendicular to line n and has a slope of -1

❑ Une n passes through the point (c, d +1) where c and d are consecutive integers and c > d.
[Reveal] Spoiler: OA

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Re: In the xy-plane, line n is a line that passes through t [#permalink]
Choice A is wrong since it does not exclude the case in which a and b are equal so that the line has a slope of 1.
Choice C is right because it assures that the slope is greater than 1 without the risk of equality.

The one I do not get is choice B. If line m is perpendicular to n and it has a slope of -1, this means that line n has a slope of 1 that is not greater than 1. How could it be right? VP Joined: 20 Apr 2016
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Re: In the xy-plane, line n is a line that passes through t [#permalink]
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IlCreatore wrote:
Choice A is wrong since it does not exclude the case in which a and b are equal so that the line has a slope of 1.
Choice C is right because it assures that the slope is greater than 1 without the risk of equality.

The one I do not get is choice B. If line m is perpendicular to n and it has a slope of -1, this means that line n has a slope of 1 that is not greater than 1. How could it be right?

Here it has asked "to determine whether the slope of line n is greater than 1"

since the slope of line n = 1 and it is not greater than 1 but equal to 1 , so option B is also correct.
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Director Joined: 03 Sep 2017
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Kudos [?]: 440 , given: 66

Re: In the xy-plane, line n is a line that passes through t [#permalink]
pranab01 wrote:
IlCreatore wrote:
Choice A is wrong since it does not exclude the case in which a and b are equal so that the line has a slope of 1.
Choice C is right because it assures that the slope is greater than 1 without the risk of equality.

The one I do not get is choice B. If line m is perpendicular to n and it has a slope of -1, this means that line n has a slope of 1 that is not greater than 1. How could it be right?

Here it has asked "to determine whether the slope of line n is greater than 1"

since the slope of line n = 1 and it is not greater than 1 but equal to 1 , so option B is also correct.

You are right! Got it. I was too tired yesterday to get it right! Thanks!
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Re: In the xy-plane, line n is a line that passes through t [#permalink]
pranab01 wrote:
IlCreatore wrote:
Choice A is wrong since it does not exclude the case in which a and b are equal so that the line has a slope of 1.
Choice C is right because it assures that the slope is greater than 1 without the risk of equality.

The one I do not get is choice B. If line m is perpendicular to n and it has a slope of -1, this means that line n has a slope of 1 that is not greater than 1. How could it be right?

Here it has asked "to determine whether the slope of line n is greater than 1"

since the slope of line n = 1 and it is not greater than 1 but equal to 1 , so option B is also correct.

I don't really get why the answer choices are B and C? I don't understand why thatyio make B true? VP Joined: 20 Apr 2016
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Re: In the xy-plane, line n is a line that passes through t [#permalink]
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Avraheem wrote:
I don't really get why the answer choices are B and C? I don't understand why thatyio make B true?

That's a rule ; The slope of line n is always equal the negative reciprocal of perpendicular line m
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Re: In the xy-plane, line n is a line that passes through t [#permalink]
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pranab01 wrote:
Avraheem wrote:
I don't really get why the answer choices are B and C? I don't understand why thatyio make B true?

That's a rule ; The slope of line n is always equal the negative reciprocal of perpendicular line m

My problem is in understanding the question! I understand completely why the solutions, but i don't understand the question.

It says which one guarantee that we will have a slope > 1 for line n.

Choice A: is sufficient because we have the case when a = b, and we might as well have slope larger than 1. So it should be true.

Choice B: insures that line n will have a slope of 1, so it should be false too.

Choice C: insure that we will have (c,c), which will always give slope of 1 for line n, so it should be false.

None of them guarantee that we will have slope larger than 1 except A. Intern Joined: 21 Sep 2018
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Re: In the xy-plane, line n is a line that passes through t [#permalink]
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@Avraheem, the question asks which of the options individually will help you determine if the slope of n will be greater than 1.

Options b and c give you concrete values - option B - slope is 1 - helps you determine if the line's slope is above 1, in this case it's not. Option C leads you towards a negative slope, which results in helping you decide if the slope is above 1 - nope.

Option A on the other hand, just tells you that the line doesn't pass through a point a,b where a>b and a and b are both positive. It could pass through any other points such that the slope will be positive or negative or 0. We can't use that particular information to decide whether the slope of line is above 1 or not. Hence B & C.
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Re: In the xy-plane, line n is a line that passes through t [#permalink]
I think the choice c is missing a data it should say c and d are positive otherwise if you take c and d negative slope becomes 1 and if you take c and d positive slope is over 1 Re: In the xy-plane, line n is a line that passes through t   [#permalink] 09 Dec 2018, 10:03
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