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# In the xy-plane, what is the slope of line l? (1) Line l

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Intern
Joined: 22 Jul 2008
Posts: 42
In the xy-plane, what is the slope of line l? (1) Line l [#permalink]

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05 Aug 2008, 11:12
In the xy-plane, what is the slope of line l?
(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x – 1.

This a DS question.
I am not so clear on the slope question, an explanation of the answer is greatly appreciated

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Intern
Joined: 04 Jun 2008
Posts: 16
Concentration: Marketing, Strategy
GMAT 1: 690 Q48 V35
GPA: 3.31
WE: Engineering (Non-Profit and Government)

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05 Aug 2008, 11:45
rnemani wrote:
In the xy-plane, what is the slope of line l?
(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x – 1.

This a DS question.
I am not so clear on the slope question, an explanation of the answer is greatly appreciated

Taking the first statement:
The only way Line l does not intersect the line y=1-x (line m) is if the slope of line l and m are the same.

Taking the second statement:
The only way line l will intersect the line y=x-1 is if the slope of line l and m are not the the same (hence line l can have many different slopes).

I will go with A.
SVP
Joined: 07 Nov 2007
Posts: 1760
Location: New York

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05 Aug 2008, 12:53
rnemani wrote:
In the xy-plane, what is the slope of line l?
(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x – 1.

This a DS question.
I am not so clear on the slope question, an explanation of the answer is greatly appreciated

(1) Line l dose not intersect the line with equation y = 1 - x.

Two parallel never intersect each other. so l must be || to equation 1
|| lines have same slope

Sufficient
(2) Line l intersects the line with equation y = x – 1.
there can many lines than intersect equlation ..
not suffcient.

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Senior Manager
Joined: 07 Jul 2005
Posts: 399

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05 Aug 2008, 13:03
A) The line must be parallel, i.e. slope of negative 1. Sufficient
B) The line can have an infinite number of slopes. Insufficient.

A
VP
Joined: 17 Jun 2008
Posts: 1322

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05 Aug 2008, 17:26
rnemani wrote:
In the xy-plane, what is the slope of line l?
(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x – 1.

This a DS question.
I am not so clear on the slope question, an explanation of the answer is greatly appreciated

lets the say given line l is :
y=mx+c
now m=? is the question
(1) this says line l does not intersect and hence is paralel to y=1-x => m=-1 => SUFFI
(2)this says m not = 1 since the line l intersects y=x-1 whose slope is 1 but m value is unknown INSUFFI
IMO A

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: Slope question   [#permalink] 05 Aug 2008, 17:26
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# In the xy-plane, what is the slope of line l? (1) Line l

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