Find all School-related info fast with the new School-Specific MBA Forum

It is currently 20 Dec 2014, 19:19

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the xy-plane, if line k has negative slope, is the

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 06 Oct 2010
Posts: 57
Followers: 0

Kudos [?]: 20 [0], given: 19

In the xy-plane, if line k has negative slope, is the [#permalink] New post 15 Apr 2011, 19:19
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

47% (01:59) correct 53% (00:35) wrong based on 15 sessions
In the xy-plane, if line k has negative slope, is the y-intercept of line k positive?

(1) The x-intercept of line k is less than the y-intercept of line k.
(2) The slope of line k is less than -2.

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-the-xy-plane-if-line-k-has-negative-slope-is-the-129055.html
[Reveal] Spoiler: OA

Last edited by skbjunior on 16 Apr 2011, 03:15, edited 1 time in total.
Kaplan Promo CodeKnewton GMAT Discount CodesGMAT Pill GMAT Discount Codes
1 KUDOS received
Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 2037
Followers: 129

Kudos [?]: 1009 [1] , given: 376

Re: DS Coordinate Geom [#permalink] New post 15 Apr 2011, 20:15
1
This post received
KUDOS
skbjunior wrote:
In the xy-plane, if line k has negative slope, is the y-intercept of line k positive?

(1) The x-intercept of line k is less than the y-intercept of line k.

(2) The slope of line k is less than -2.

Please provide explanation. I will provide OA soon. Thanks!


(1) Not Sufficient.
Attachment:
x_intercept_less_than_y.png
x_intercept_less_than_y.png [ 8.46 KiB | Viewed 1094 times ]


(2)Not Sufficient.
Attachment:
slope_less_than_minus_2.png
slope_less_than_minus_2.png [ 8.55 KiB | Viewed 1094 times ]


(3)Combining both.
It should always be to the right of the blue line.
Sufficient.

Attachment:
combining_both.png
combining_both.png [ 7.34 KiB | Viewed 1095 times ]


Ans: "C"

y=-2x+C

y-intercept
y=C

x-intercept
x=\frac{C}{2}

C>\frac{C}{2}
C-\frac{C}{2}>0
2C-C>0
C>0

Even for a slope of "-2", the y-intercept C has to be more than "0" or +ve to satisfy both statements.
_________________

~fluke

1 KUDOS received
SVP
SVP
avatar
Joined: 16 Nov 2010
Posts: 1690
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 31

Kudos [?]: 318 [1] , given: 36

Premium Member Reviews Badge
Re: DS Coordinate Geom [#permalink] New post 15 Apr 2011, 20:24
1
This post received
KUDOS
My take (1) and (2) are insufficient :

Y = mx + b

x intercept = -b/m
y intercept = b

-b/m < b

m < -2 => m is negative so -m is positive

b/(positive #) < b

=> b is positive (otherwise if b is negative, its magnitude will increase in smaller slices, also m is not a proper fraction, so that a negative # divided by proper positive fraction will increase in magnitude)

Answer - C
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

Manager
Manager
avatar
Joined: 17 Jan 2011
Posts: 234
Followers: 1

Kudos [?]: 25 [0], given: 4

Re: DS Coordinate Geom [#permalink] New post 15 Apr 2011, 20:03
If the answer is A, I can explain.
_________________

Good Luck!!!

***Help and be helped!!!****

Re: DS Coordinate Geom   [#permalink] 15 Apr 2011, 20:03
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic In the xy-plane, if line k has negative slope and passes enigma123 2 15 May 2012, 20:26
4 Experts publish their posts in the topic In the xy-plane, if line k has negative slope, is the Bluelagoon 8 14 Mar 2012, 00:04
1 Experts publish their posts in the topic In the xy-plane, if line k has negative slope and passes GMATD11 4 26 Feb 2011, 06:21
3 Experts publish their posts in the topic In the xy-plane, if line k has negative slope and passes seekmba 4 22 May 2010, 13:41
9 Experts publish their posts in the topic In the xy-plane, if line k has negative slope and passes TeHCM 16 26 Dec 2005, 23:17
Display posts from previous: Sort by

In the xy-plane, if line k has negative slope, is the

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.