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In the xy-plane, what is the slope of line l?

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In the xy-plane, what is the slope of line l?  [#permalink]

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New post Updated on: 27 Jun 2013, 21:32
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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.


Does it mean that from1- line l is parallel to given line, hence same slope?

Originally posted by saurya_s on 22 Sep 2004, 14:52.
Last edited by Bunuel on 27 Jun 2013, 21:32, edited 2 times in total.
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Re: DS Slope of a line  [#permalink]

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New post 22 Sep 2004, 15:11
saurya_s wrote:
Q34:
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.




Does it mean that from1- line l is parallel to given line, hence same slope?


A it is
Yes if lines dont intersect they are parallel
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Re: In the xy-plane, what is the slope of line l?  [#permalink]

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New post 29 Jan 2012, 07:44
if two lines do not intersect then they are must parallel and their slopes are equal.
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Re: In the xy-plane, what is the slope of line l?  [#permalink]

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New post 29 Jan 2012, 07:53
saurya_s 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.

Does it mean that from1- line l is parallel to given line, hence same slope?


Yes, if the lines do not intersect in the xy-plane, then they are parallel and have the same slope. So, (1) is sufficient: slope of L=-1 and (2) is not as there are infinite # of lines which intersects the line y=x-1.

Answer: A.

For more on this topic check Coordinate Geometry chapter of math Book: math-coordinate-geometry-87652.html

Hope it helps.
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Re: In the xy-plane, what is the slope of line l?  [#permalink]

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New post 17 Dec 2015, 11:18
Does not intersect means the lines are parallel. Slopes of parallel lines are related (They are equal) Statement 1 is sufficient.

Statement 2 says the line intersects the liven equation. Had it been angle 90 degrees, we could have concluded the slope since the slope would have been equal to Slope * (-1).

Hence A is the answer
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Re: In the xy-plane, what is the slope of line l?  [#permalink]

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New post 29 Mar 2018, 04:34
We need to find the slope of the line.

Option A: since the line does not intersect y = 1 - x. so the will be parallel and hence will have same slope. Sufficient

Option B : Since the line intersect the line y = x – 1. so the line can have any slope which cannot be determined from the given information. Insufficient


Answer : A
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Re: In the xy-plane, what is the slope of line l? &nbs [#permalink] 29 Mar 2018, 04:34
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In the xy-plane, what is the slope of line l?

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