In the x-y plane, both line L and K pass through point (3, 3 : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 10:30

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the x-y plane, both line L and K pass through point (3, 3

Author Message
TAGS:

### Hide Tags

Intern
Joined: 18 Jul 2012
Posts: 13
Followers: 0

Kudos [?]: 18 [0], given: 6

In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

### Show Tags

28 Aug 2013, 09:20
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:36) correct 0% (00:00) wrong based on 13 sessions

### HideShow timer Statistics

In the x-y plane, both line L and K pass through point (3, 3). Is the y-intercept of line K greater than the y-intercept of line L?

(1) Slope of line L is positive
(2) Slope of line K is less than slope of Line L

According to me the answer should be
[Reveal] Spoiler:
E
but I am not very sure.Sorry I dont have the answer.

Last edited by Bunuel on 28 Aug 2013, 09:37, edited 1 time in total.
RENAMED THE TOPIC.
Director
Joined: 24 Aug 2009
Posts: 506
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 17

Kudos [?]: 674 [0], given: 276

### Show Tags

28 Aug 2013, 09:23
nroy347 wrote:
In the x-y plane , both line L and K pass through point (3,3).Is the Y intercept of line K greater than the y intercept of line L?

1.Slope of line L is positive
2.Slope of line K is less than the slope of Line L

According to me the answer should be
[Reveal] Spoiler:
E
but I am not very sure.Sorry I dont have the answer.

You are correct that the answer is E.
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Intern
Joined: 15 Oct 2012
Posts: 25
Followers: 0

Kudos [?]: 13 [0], given: 1

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

### Show Tags

28 Aug 2013, 11:36
I think the answer should be C - as if the like L has the positive slope and the line k has the slope less than slope of the line L - than in that case Line K will always intersect the Y axis above Line L - Keeping in mind they both have to intersect on point (3,3).

Correct me if I am missing on something.

Nikhil
Manager
Joined: 04 Apr 2013
Posts: 153
Followers: 1

Kudos [?]: 43 [0], given: 36

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

### Show Tags

28 Aug 2013, 17:03
nikhilsehgal wrote:
I think the answer should be C - as if the like L has the positive slope and the line k has the slope less than slope of the line L - than in that case Line K will always intersect the Y axis above Line L - Keeping in mind they both have to intersect on point (3,3).

Correct me if I am missing on something.

Nikhil

nikhil,

Even I think so. But we might be wrong.
_________________

MGMAT1 - 540 ( Trying to improve )

Director
Joined: 14 Dec 2012
Posts: 842
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Followers: 59

Kudos [?]: 1287 [1] , given: 197

### Show Tags

28 Aug 2013, 17:41
1
KUDOS
fameatop wrote:
nroy347 wrote:
In the x-y plane , both line L and K pass through point (3,3).Is the Y intercept of line K greater than the y intercept of line L?

1.Slope of line L is positive
2.Slope of line K is less than the slope of Line L

According to me the answer should be
[Reveal] Spoiler:
E
but I am not very sure.Sorry I dont have the answer.

You are correct that the answer is E.

IMO B

line L:
$$Y = MX+C$$

line k:
$$Y = NX + D$$

both are passing from $$(3,3)$$
therefore :
$$3M+C=3N+D$$
$$3(M-N) = D-C$$

now statement 2 :
$$M>N$$
THREFORE
$$D-C > 0$$

hence SUFFICIENT
_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment

Manager
Joined: 30 May 2013
Posts: 190
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.82
Followers: 0

Kudos [?]: 64 [0], given: 72

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

### Show Tags

28 Aug 2013, 18:43
nroy347 wrote:
In the x-y plane, both line L and K pass through point (3, 3). Is the y-intercept of line K greater than the y-intercept of line L?

(1) Slope of line L is positive
(2) Slope of line K is less than slope of Line L

According to me the answer should be
[Reveal] Spoiler:
E
but I am not very sure.Sorry I dont have the answer.

Hi,

I too got B as answer.

Consider the line L
Y=mx+b

For line K
y=nx+c

Both the line passes through Point (3,3)
hence
3m+b=3n+c
3(m-n)=c-b

is c>b?
1) Slope of line L is positive does not give any details of n so insufficent
2) m<n
m-n<0 => apply this in question
so o>c-b
c>b
Statement 2 is sufficient
Intern
Joined: 05 Aug 2012
Posts: 42
Concentration: Technology, General Management
GMAT Date: 09-16-2013
GPA: 3.5
WE: Analyst (Consulting)
Followers: 0

Kudos [?]: 28 [0], given: 11

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

### Show Tags

28 Aug 2013, 19:08
nikhilsehgal wrote:
I think the answer should be C - as if the like L has the positive slope and the line k has the slope less than slope of the line L - than in that case Line K will always intersect the Y axis above Line L - Keeping in mind they both have to intersect on point (3,3).

Correct me if I am missing on something.

Nikhil

nikhil,

Even I think so. But we might be wrong.

Folks - Line K has slope less than line C's Slope. What if slope of K is negative ?? In that case, Y intercept may or may not be greater. Hence both the conditin together is not sufficient. Hence IMO it has to be E.
_________________

Regards,
Suyash

I want to live in a world where emails are short, love letters are brave, and every "Thank you" note is scribbled by hand.
GO GREEN

Intern
Joined: 06 Apr 2012
Posts: 12
Location: United States
Concentration: Technology, Strategy
Schools: Anderson '15
GMAT 1: 710 Q48 V40
GPA: 3.88
Followers: 0

Kudos [?]: 7 [0], given: 5

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

### Show Tags

28 Aug 2013, 22:20
I would like to solve it by the understanding the relative position of line in the plane.

+ve slope means line is making an angle < 90 degree with X-axis on the left hand side. Greater the slope greater the angle, while keeping the angle < 90 with x - axis on left hand side. With 90 degree angle with x axis , slope become undefined.
thus, greater the angle, lower the value of Y intercept. Keep in mind both the lines pass through the same point (3,3)

Stmt 1: Slope of line L is positive
This does not say anything about the slope of like k.
1. Slope of line K could be +ve , but less than that of line L, thus in this case, y intercept of line K would be higher.
2. If slope of line K > slope of line L, then y intercept of line K would be lower.
Thus,Insufficient.

(2) Slope of line K is less than slope of Line L
This is point 2 mentioned under choice 1 above. Thus, we can say that y intercept of line K would be higher.
Thus, Sufficient.

Manager
Joined: 26 Feb 2013
Posts: 184
Followers: 0

Kudos [?]: 40 [0], given: 25

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

### Show Tags

29 Aug 2013, 01:46
If they have different slopes (inclination), then they must have different y interceptors (where they intercept the y axis)

I think B is sufficient.
Attachments

pic1.png [ 1.6 KiB | Viewed 1148 times ]

Intern
Joined: 18 Jul 2012
Posts: 13
Followers: 0

Kudos [?]: 18 [0], given: 6

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

### Show Tags

29 Aug 2013, 01:56
What if L has negative slope and K has positive slope.In above we have taken both L and K as positive slope.The answer will not change??
Director
Joined: 14 Dec 2012
Posts: 842
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Followers: 59

Kudos [?]: 1287 [2] , given: 197

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

### Show Tags

29 Aug 2013, 02:00
2
KUDOS
nroy347 wrote:
What if L has negative slope and K has positive slope.In above we have taken both L and K as positive slope.The answer will not change??

since statement 2 says that slope of K is less than slope of L...

In that case If slope of L is negative ..then slope of K cannot be positive..(since slope K < slope L)

HOPE it helps
_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment

Re: In the x-y plane, both line L and K pass through point (3, 3   [#permalink] 29 Aug 2013, 02:00
Similar topics Replies Last post
Similar
Topics:
16 In the xy-coordinate plane, line L passes through the points (b, a) an 4 01 May 2015, 01:16
13 In the xy-plane, line l passes through the point (-7, k). What is the 7 19 Jan 2015, 05:02
5 In the xy-coordinate plane, line l passes through the point (-3, 0). 5 12 Nov 2014, 09:09
18 In the xy-plane, line k passes through the point (1, 1) and line m 18 11 Jun 2010, 06:24
In the xy-plane, line k passes through the point (1, 1) and line m 5 27 Jan 2010, 09:48
Display posts from previous: Sort by