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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 20 Jan 2019, 07:59
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In the XY plane. What is the slope of line L?

a) Line L doesn't intersect with the equation y = 1-x.
b) Line L intersect with the equation y = x-1.

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Re: In the XY plane. What is the slope of line L?  [#permalink]

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New post 20 Jan 2019, 08:23
Statement 1:
2 lines will not intersect only if both are parallel to each other.
Hence the Line L is parallel to y = 1-x. hence slope of L is same as slope of y = 1-x = -1.
Sufficient.

Statement2:
Line L can intersect in any inclination with line y = 1-x.
Hence Not sufficient.

Answer = A

Afc0892 wrote:
In the XY plane. What is the slope of line L?

a) Line L doesn't intersect with the equation y = 1-x.
b) Line L intersect with the equation y = x-1.

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In the XY plane. What is the slope of line L?  [#permalink]

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New post 25 Jan 2019, 02:09
gmatbusters Afc0892

#1:
Line L doesn't intersect with the equation y = 1-x

quoting your line :
2 lines will not intersect only if both are parallel to each other.

how can we say that line L would be parallel to y=1-x ; ? what if they are in opposite quadrants , upon drawing line y=1-x (0,1), ( 1,0) we would notice its a downward slope (-ve) .. so for a line which doesnt intersect with eqn y=1-x will not necessarily be parallel IMO A is not sufficient..



#2
given Line L intersect with the equation y = x-1

so for a line which intersects with another line it would be perpendicular and product of their slopes would be -1 ;
IMO B should be sufficient



gmatbusters wrote:
Statement 1:
2 lines will not intersect only if both are parallel to each other.
Hence the Line L is parallel to y = 1-x. hence slope of L is same as slope of y = 1-x = -1.
Sufficient.

Statement2:
Line L can intersect in any inclination with line y = 1-x.
Hence Not sufficient.

Answer = A

Afc0892 wrote:
In the XY plane. What is the slope of line L?

a) Line L doesn't intersect with the equation y = 1-x.
b) Line L intersect with the equation y = x-1.

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Re: In the XY plane. What is the slope of line L?  [#permalink]

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New post 25 Jan 2019, 11:44
Archit3110 wrote:
#1:
Line L doesn't intersect with the equation y = 1-x

quoting your line :
2 lines will not intersect only if both are parallel to each other.

how can we say that line L would be parallel to y=1-x ; ? what if they are in opposite quadrants , upon drawing line y=1-x (0,1), ( 1,0) we would notice its a downward slope (-ve) .. so for a line which doesnt intersect with eqn y=1-x will not necessarily be parallel IMO A is not sufficient..


Hey Archit3110

A) Even if the lines are at different quadrants, if you extrapolate the lines, they will intersect at a point. Two lines will not intersect ONLY if the lines are parallel.

Archit3110 wrote:
#2
given Line L intersect with the equation y = x-1
so for a line which intersects with another line it would be perpendicular and product of their slopes would be -1 ;
IMO B should be sufficient


B) It's not required for the lines to be perpendicular to intersect each other. You can visualize this by drawing two lines that aren't perpendicular but intersect each other.

Cheers!
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Re: In the XY plane. What is the slope of line L?   [#permalink] 25 Jan 2019, 11:44
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In the XY plane. What is the slope of line L?

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