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Bunuel
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In the XY-plane, lines L and K are parallel. If the Y-intercept of lin 12 Nov 2018, 00:13
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C
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25% (medium)

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78% (01:42) correct 22% (01:37) wrong based on 186 sessions

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In the XY-plane, lines L and K are parallel. If the Y-intercept of line L is −1, what is the Y-intercept of line K?

(1) The X-intercept of line L is −1.
(2) Line K passes through the point (5, 10).
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C
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In the XY-plane, lines L and K are parallel. If the Y-intercept of lin 12 Nov 2018, 03:22
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Bunuel
In the XY-plane, lines L and K are parallel. If the Y-intercept of line L is −1, what is the Y-intercept of line K?

(1) The X-intercept of line L is −1.
(2) Line K passes through the point (5, 10).
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using stmnt 1: we know L and K are parallel so both slopes would be equal

x intercept of line L (-1,0) and y intercept (0,-1)
eqn of line L would be , y=-x-1 slope is -1 since lines are parallel hence m of line K is also -1, sufficient

stmnt 2: we are given details of only one of the k coordinates (5,10) , hence eqn of line cannot be determined as there can be multiple possibilities of line K being ll to line L (0,-1), hence insufficient


IMO A should be correct...

GMATinsight : how is C correct??
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In the XY-plane, lines L and K are parallel. If the Y-intercept of lin 13 Nov 2018, 05:28
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Archit3110
Bunuel
In the XY-plane, lines L and K are parallel. If the Y-intercept of line L is −1, what is the Y-intercept of line K?

(1) The X-intercept of line L is −1.
(2) Line K passes through the point (5, 10).


using stmnt 1: we know L and K are parallel so both slopes would be equal

x intercept of line L (-1,0) and y intercept (0,-1)
eqn of line L would be , y=-x-1 slope is -1 since lines are parallel hence m of line K is also -1, sufficient

stmnt 2: we are given details of only one of the k coordinates (5,10) , hence eqn of line cannot be determined as there can be multiple possibilities of line K being ll to line L (0,-1), hence insufficient


IMO A should be correct...

GMATinsight : how is C correct??
Show more

Statement 1 gives us X-intercept of line L and it's Y-intercept also is -1 hence we have unique equation of line L which is y = -x-1

but there are infinite many lines that are parallel to line L and line K can be any one of them where each line will have same slope -1 but different X and Y intercepts hence
NOT SUFFICIENT

Statement 2 gives us only one point on line K but the value of slope of line K (which is same as slope of line L) is unknown hence we can't locate it on X-Y plane

Combining the statements gives us exact graph of line L

also, we know slope of line K now should be -1 and should pass through (5,10) hence there is a unuque graoh and equation of line K hence we can calculate the x and y intercepts of line K
SUFFICIENT

Answer: Option C

I hope this helps!!!

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In the XY-plane, lines L and K are parallel. If the Y-intercept of lin 13 Nov 2018, 05:46
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Archit3110
Bunuel
In the XY-plane, lines L and K are parallel. If the Y-intercept of line L is −1, what is the Y-intercept of line K?

(1) The X-intercept of line L is −1.
(2) Line K passes through the point (5, 10).


using stmnt 1: we know L and K are parallel so both slopes would be equal

x intercept of line L (-1,0) and y intercept (0,-1)
eqn of line L would be , y=-x-1 slope is -1 since lines are parallel hence m of line K is also -1, sufficient

stmnt 2: we are given details of only one of the k coordinates (5,10) , hence eqn of line cannot be determined as there can be multiple possibilities of line K being ll to line L (0,-1), hence insufficient


IMO A should be correct...

GMATinsight : how is C correct??

Statement 1 gives us X-intercept of line L and it's Y-intercept also is -1 hence we have unique equation of line L which is y = -x-1

but there are infinite many lines that are parallel to line L and line K can be any one of them where each line will have same slope -1 but different X and Y intercepts hence
NOT SUFFICIENT

Statement 2 gives us only one point on line K but the value of slope of line K (which is same as slope of line L) is unknown hence we can't locate it on X-Y plane

Combining the statements gives us exact graph of line L

also, we know slope of line K now should be -1 and should pass through (5,10) hence there is a unuque graoh and equation of line K hence we can calculate the x and y intercepts of line K
SUFFICIENT

Answer: Option C

I hope this helps!!!

Archit3110
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GMATinsight

I initially did not think of statement 1 in broad terms as you did of having many lines along line L which can be parallel, which is why I went wrong... thanks a lot... understood the question..
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In the XY-plane, lines L and K are parallel. If the Y-intercept of lin 14 Nov 2018, 06:43
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Bunuel
In the XY-plane, lines L and K are parallel. If the Y-intercept of line L is −1, what is the Y-intercept of line K?

(1) The X-intercept of line L is −1.
(2) Line K passes through the point (5, 10).
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Concept Tested here: Slopes of parallel lines are equal
need to use equation y=mx+c
if Y intercept of L is-1 it means we have equation to form with point(0,-1)

1. says X intercept is of L is -1 so we have eqn

-1=-m +c -I
or m=c+1

2. says Line k passes through 5, 10

so we have 10y=5m +c

put value of m we will get value of c, then we can find y intercept of K

So C is correct OA
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In the XY-plane, lines L and K are parallel. If the Y-intercept of lin 17 Sep 2022, 08:46
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