It is currently 21 Sep 2017, 09:24

Happening Now:

Live Chat with Amy Mitson, Sr. Associate Director of Admissions at Tuck Dartmouth


Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the xy-plane, Line K and K pass through point (1,1), K's

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 04 Sep 2006
Posts: 113

Kudos [?]: 60 [0], given: 0

In the xy-plane, Line K and K pass through point (1,1), K's [#permalink]

Show Tags

New post 22 Jul 2009, 12:47
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In the xy-plane, Line K and K pass through point (1,1), K's Y-intercept is greater than L's Y-intercept?
1). K's slope is less than that of L
2). L's slope is negative.

Kudos [?]: 60 [0], given: 0

Senior Manager
Senior Manager
avatar
Joined: 04 Jun 2008
Posts: 289

Kudos [?]: 150 [0], given: 15

Re: INTERCEPT SLOPE DS [#permalink]

Show Tags

New post 22 Jul 2009, 13:05
vcbabu wrote:
In the xy-plane, Line K and K pass through point (1,1), K's Y-intercept is greater than L's Y-intercept?
1). K's slope is less than that of L
2). L's slope is negative.



Ans is A

can do it by 2 methods.
1) eqn y = mx + c

if y and x are same at a point, then lesser the m, greater the C.

2) imagine the 2 lines, and assume L to be anything, say x=y
as you reduce the slope of K, C increases, and vice versa.

Kudos [?]: 150 [0], given: 15

Director
Director
User avatar
Joined: 01 Apr 2008
Posts: 879

Kudos [?]: 814 [0], given: 18

Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: INTERCEPT SLOPE DS [#permalink]

Show Tags

New post 22 Jul 2009, 13:05
C

1)
a) If K's slope is negative and L's slope is negative then K's y-intercept is less than that of L.
b) If K's slope is positive and L's slope is positive then K's y-intercept is greater than that of L.

INSUFF

2) We don't know about other line's slope.

INSUFF

Combining,
L's slope is negative and K's slope is less than that of L. This means K's slope is also negative.
=> y-intercept of K is less than that of L.

Kudos [?]: 814 [0], given: 18

Manager
Manager
avatar
Joined: 04 Sep 2006
Posts: 113

Kudos [?]: 60 [0], given: 0

Re: INTERCEPT SLOPE DS [#permalink]

Show Tags

New post 25 Jul 2009, 07:46
1)
a) If K's slope is negative and L's slope is negative then K's y-intercept is less than that of L.
b[/color]) If K's slope is positive and L's slope is positive then K's y-intercept is greater than that of L.

INSUFF

2) We don't know about other line's slope.

INSUFF

Combining,
L's slope is negative and K's slope is less than that of L. This means K's slope is also negative.
=> y-intercept of K is less than that of L.


how is the conclusion made from slope about intercept

Kudos [?]: 60 [0], given: 0

Director
Director
User avatar
Joined: 01 Apr 2008
Posts: 879

Kudos [?]: 814 [0], given: 18

Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: INTERCEPT SLOPE DS [#permalink]

Show Tags

New post 25 Jul 2009, 09:36
Best way to visualize is to draw the lines.

Negative slope means the line rises as we go from right to left i.e. the highest point is on the left side of Y-axis.

Positive slope means the line rises as we go from left to right. i.e the highest point is on the right side of Y-axis.

Also, lesser slope means the 'rise' is less and viceversa. Hope you got the point.:)

Kudos [?]: 814 [0], given: 18

Manager
Manager
User avatar
Joined: 03 Jul 2009
Posts: 106

Kudos [?]: 93 [0], given: 13

Location: Brazil
Re: INTERCEPT SLOPE DS [#permalink]

Show Tags

New post 25 Jul 2009, 14:22
For me it is clearly A.

1) eqn y = mx + c
if y and x are same at a point, then lesser the m, greater the C.
a) If K's slope is negative and L's slope is negative then K's y-intercept is GREATER than that of L.
b) If K's slope is positive and L's slope is positive then K's y-intercept is GREATER than that of L.

Draw the following graphs:
2x - 1 (slope 2, y-intercept -1)
4x - 3 (slope 4, y-intercept -3)
The less the scope, the major is the interception

-2x + 3 (slope -2, y-intercept 3)
-4x + 5 (slope -2, y-intercept 5)
The less the scope, the major is the interception
SUFFICIENT

2) ok, but what about K? Without reference, without comparison.
NOT SUFFICIENT

Answer A

PS.: If you like the explanation, and mainly, if it is right, consider a kudo! ;) I am trying to access the GMATClub tests!!!

Kudos [?]: 93 [0], given: 13

Director
Director
User avatar
Joined: 01 Apr 2008
Posts: 879

Kudos [?]: 814 [0], given: 18

Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: INTERCEPT SLOPE DS [#permalink]

Show Tags

New post 26 Jul 2009, 03:59
True. Answer should be A.

My mistake was:
For negative slope I assumed that the rise is higher if the slope is higher ( just like for positive slopes )

However, if slopes are negative then the rise is higher if the slope is lesser!!! :)
See figure by mrsmarthi in:
quick-way-to-graph-inequalities-76255.html?highlight=mrsmarthi

Kudos [?]: 814 [0], given: 18

Re: INTERCEPT SLOPE DS   [#permalink] 26 Jul 2009, 03:59
Display posts from previous: Sort by

In the xy-plane, Line K and K pass through point (1,1), K's

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.