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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: xy-plane  [#permalink]

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New post 27 Feb 2012, 08:27
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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 --> if the lines do not intersect in the xy-plane, then they are parallel. Parallel lines have the same slope, hence the slope of L=-1. Sufficient.

(2) Line l intersects the line with equation y = x – 1 --> there are infinitely many lines, with different slopes, which intersect with the line y=x-1. Not sufficient.

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 29 Jan 2012, 07:44
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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 27 Aug 2019, 00:55
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Re: In the xy-plane, what is the slope of line l?   [#permalink] 27 Aug 2019, 00:55
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