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

It is currently 30 Apr 2016, 17:49
GMAT Club Tests

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

The y intercept of a line L is 4. If the slope of L is

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Manager
Manager
User avatar
Joined: 20 Mar 2005
Posts: 170
Followers: 2

Kudos [?]: 48 [2] , given: 0

The y intercept of a line L is 4. If the slope of L is [#permalink]

Show Tags

New post 12 Nov 2007, 20:40
2
This post received
KUDOS
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

75% (01:43) correct 25% (00:39) wrong based on 157 sessions

HideShow timer Statictics

The y intercept of a line L is 4. If the slope of L is negative, which of the following could be the x intercept of L.

I. -1
II. 0
III. 6

A. I only
B. II only
C. III only
D. I and II
E. I and III
[Reveal] Spoiler: OA
1 KUDOS received
Manager
Manager
avatar
Joined: 25 Jul 2007
Posts: 108
Followers: 1

Kudos [?]: 16 [1] , given: 0

Re: The y intercept of a line L is 4. If the slope of L is [#permalink]

Show Tags

New post 12 Nov 2007, 20:50
1
This post received
KUDOS
1
This post was
BOOKMARKED
C) III only

The y-intercept is 4. Therefore we have y=mx+4

It is given that the slope is negative. Therefore the line must go from top left to bottom right.

i.e: the x-intercept has to be positive. That itself rules out I & II.

If you choose to go with the options directly, here's an approach.

y=mx+4. For the x-intercept, y=0.
i.e. mx+4=0.

We know that the slope m is negative. Therefore, if x=-1 or x=0, the equation mx+4 =0 would never be satisfied.

If x=6, we have 6m+4=0. A value of m=-2/3 would satisfy this equation.

Hope this helps.
Director
Director
avatar
Joined: 09 Aug 2006
Posts: 763
Followers: 1

Kudos [?]: 131 [0], given: 0

Re: The y intercept of a line L is 4. If the slope of L is [#permalink]

Show Tags

New post 12 Nov 2007, 21:29
Balvinder wrote:
The y intercept of a line L is 4. If the slope of L is negative, which of the fillowing could be the x intercept of L.
I -1
II 0
III 6

A) I only
B) II only
C) III only
D) I and II
E) I and III


The stem tells us that the line is downward sloping (from left to right) and intercepts the y-axis at 4. Therefore, the all possible points of intersection on the x-axis will be positive. III is the only positive option. Answer C.
SVP
SVP
avatar
Joined: 28 Dec 2005
Posts: 1575
Followers: 3

Kudos [?]: 117 [0], given: 2

Re: The y intercept of a line L is 4. If the slope of L is [#permalink]

Show Tags

New post 13 Nov 2007, 05:44
said C, 3 only....got it down to x=4/m ... looked at the answers and only 6 fit.
1 KUDOS received
Intern
Intern
avatar
Joined: 04 Dec 2009
Posts: 22
Followers: 0

Kudos [?]: 22 [1] , given: 13

The y intercept of line l is 4. If the slope of line l is [#permalink]

Show Tags

New post 11 Jun 2010, 07:52
1
This post received
KUDOS
1
This post was
BOOKMARKED
The y intercept of line l is 4. If the slope of line l is negative ,which of the following could be the x intercept of line l?

I) -1
II) 0
III) 6

A. I only
B. II only
C. III only
D. I and II only
E. I and III only
Manager
Manager
avatar
Joined: 02 May 2010
Posts: 56
Schools: IU, UT Dallas, Univ of Georgia, Univ of Arkansas, Miami University
WE 1: 5.5 Yrs IT
Followers: 1

Kudos [?]: 22 [0], given: 3

Re: Need help in Coordinate geometry [#permalink]

Show Tags

New post 11 Jun 2010, 08:11
C

equation of a line y = mx+c.
If y intercept of line l is 4, then one of the points is (0,4) - by making x zero.

We know that the slope 'm' is negative. To find the x intercept of the line, make y zero in the above line equation. We get x = -c/m.
Since the value of c is 4 and the slope is negative. x has to be positive, and not negative or 0.
Manager
Manager
avatar
Joined: 22 Mar 2010
Posts: 61
Followers: 1

Kudos [?]: 14 [0], given: 1

DS:Coordinate Geometry [#permalink]

Show Tags

New post 17 Jul 2010, 11:52
The y intercept of line l is 4. If the slope of l is negative, which of the following could be the x-intercept of l?

I. -1
II. 0
III. 6

a. I only
b. II only
c. III only
d. I and II
e. I and III
CEO
CEO
User avatar
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2797
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Followers: 217

Kudos [?]: 1397 [0], given: 235

Reviews Badge
Re: DS:Coordinate Geometry [#permalink]

Show Tags

New post 17 Jul 2010, 11:55
Slope of the line x/a + y/b = 1 is -b/a here b = 4

hence slope = -4/a since -4/a is -ve, 'a' must be non zero and positive.
Only solution is 6

Thus C
_________________

Fight for your dreams :For all those who fear from Verbal- lets give it a fight

Money Saved is the Money Earned :)

Jo Bole So Nihaal , Sat Shri Akaal

:thanks Support GMAT Club by putting a GMAT Club badge on your blog/Facebook :thanks

GMAT Club Premium Membership - big benefits and savings

Gmat test review :
670-to-710-a-long-journey-without-destination-still-happy-141642.html

Intern
Intern
avatar
Joined: 15 May 2012
Posts: 41
Followers: 0

Kudos [?]: 5 [0], given: 94

Re: The y intercept of line l is 4. If the slope of line l is [#permalink]

Show Tags

New post 22 Jul 2012, 19:48
Hi Bunuel,
I am not convinced with the answer for the above question. Let me tell you how I approached it. The equation is y=mx+4, where 4 is the y-intercept (given) and since it has got a negative slope, the equation becomes, y=(-m)x+4. Now, to determine x-intercept, we consider y=0, then, -mx+4=0, hence mx=4 and since m has to be negative (it is given that slope is negative for the line), I chose x=-1, so that m=-4. According to the above calculations, I get the answer as A. But the answer is C. Please help me get the concept right.
Current Student
User avatar
Joined: 01 Mar 2009
Posts: 194
Location: United States
Concentration: Strategy, Technology
GMAT 1: 660 Q47 V34
GMAT 2: 680 Q46 V38
GPA: 3.2
WE: Consulting (Computer Software)
Followers: 3

Kudos [?]: 38 [0], given: 23

Re: The y intercept of line l is 4. If the slope of line l is [#permalink]

Show Tags

New post 22 Jul 2012, 20:12
Try visualizing the problem.

There are 2 givens:
1) The y intercept is 4
2) The slope is negative

Now draw out a coordinate plane and try to draw a few sample solutions that meet the above givens.

The only way the line can cross -1 is if the slope was positive. The line will also never cross 0 because that would form an undefined slope.

Solution 1) 6 is the only valid option. Therefore, the correct answer is C.
Manager
Manager
avatar
Joined: 26 Dec 2011
Posts: 117
Followers: 1

Kudos [?]: 27 [0], given: 17

Re: The y intercept of line l is 4. If the slope of line l is [#permalink]

Show Tags

New post 23 Jul 2012, 01:47
The answer is C. If the slope is negative of the line then either it passes through the 1 st quadrant <starting from II towards IV> or passes through the third quadrant <starting from II towards IV>.. Thus, the intercepts are either both positive or both negative. Given in the question, its a positive intercept, the other one will be a positive as well. Thus, 6.
1 KUDOS received
Manager
Manager
avatar
Joined: 22 Jun 2012
Posts: 53
GMAT 1: 730 Q49 V40
Followers: 2

Kudos [?]: 18 [1] , given: 6

Re: The y intercept of line l is 4. If the slope of line l is [#permalink]

Show Tags

New post 23 Jul 2012, 03:16
1
This post received
KUDOS
sharmila79 wrote:
Hi Bunuel,
I am not convinced with the answer for the above question. Let me tell you how I approached it. The equation is y=mx+4, where 4 is the y-intercept (given) and since it has got a negative slope, the equation becomes, y=(-m)x+4. Now, to determine x-intercept, we consider y=0, then, -mx+4=0, hence mx=4 and since m has to be negative (it is given that slope is negative for the line), I chose x=-1, so that m=-4. According to the above calculations, I get the answer as A. But the answer is C. Please help me get the concept right.

No. You are mixing it up.
the slope is negative
Hence you can write
y=(-m)x+4
since -m is negative, in this case m must be positive
again your slope is -m, not m!!

So later if you say mx=4
x is necessarily positive since m is positive.

Try to be rigorous when you create variables.
Manager
Manager
avatar
Joined: 22 Jun 2012
Posts: 53
GMAT 1: 730 Q49 V40
Followers: 2

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

Re: The y intercept of line l is 4. If the slope of line l is [#permalink]

Show Tags

New post 23 Jul 2012, 03:18
Also, even though the answer is C, this problem is not very well written IMO since an infinite negative slope could cause the x intercept to be 0 :D (though "The intercept" can imply that there is only one y intercept)
Manager
Manager
avatar
Status: suffer now and live forever as a champion!!!
Joined: 01 Sep 2013
Posts: 149
Location: India
Dheeraj: Madaraboina
GPA: 3.5
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 47 [0], given: 75

Premium Member
Re: The y intercept of a line L is 4. If the slope of L is [#permalink]

Show Tags

New post 22 Jul 2014, 20:44
slope(Intercept form) = - y(intercept)/ x (intercept)
we are also given that slope should be negative.
we are told that "y intercept of a line L is 4".

s = -4/x;

x has to be positive to maintain a negative slope .

only option C satisfies.
Manager
Manager
User avatar
Joined: 04 Sep 2012
Posts: 101
Location: Philippines
Concentration: Marketing, Entrepreneurship
Schools: Ross (Michigan) - Class of 2017
GMAT 1: 620 Q48 V27
GMAT 2: 660 Q47 V34
GMAT 3: 700 Q47 V38
GPA: 3.25
WE: Sales (Manufacturing)
Followers: 1

Kudos [?]: 35 [0], given: 504

GMAT ToolKit User
Re: The y intercept of a line L is 4. If the slope of L is [#permalink]

Show Tags

New post 23 Jul 2014, 00:16
Balvinder wrote:
The y intercept of a line L is 4. If the slope of L is negative, which of the fillowing could be the x intercept of L.
I -1
II 0
III 6

A) I only
B) II only
C) III only
D) I and II
E) I and III


With a Y-intercept of (0,4) and a negative slope, there is NO WAY for the x intercept to be less than or equal to 0

Answer is C
Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6473
Location: Pune, India
Followers: 1756

Kudos [?]: 10465 [1] , given: 205

Re: The y intercept of a line L is 4. If the slope of L is [#permalink]

Show Tags

New post 24 Jul 2014, 22:06
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Balvinder wrote:
The y intercept of a line L is 4. If the slope of L is negative, which of the following could be the x intercept of L.

I. -1
II. 0
III. 6

A. I only
B. II only
C. III only
D. I and II
E. I and III


Slope of a line = – (y intercept)/(x intercept)
Since slope is given to be negative, and y intercept is positive, we can say that x intercept must be positive too. So x intercept can be only III.

Answer (C)

For more on the slope formula, check:
http://www.veritasprep.com/blog/2011/09 ... -vertices/
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9242
Followers: 454

Kudos [?]: 115 [0], given: 0

Premium Member
Re: The y intercept of line l is 4. If the slope of line l is [#permalink]

Show Tags

New post 27 Aug 2015, 07:52
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: The y intercept of line l is 4. If the slope of line l is   [#permalink] 27 Aug 2015, 07:52
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic Line L and line K have slopes -2 and 1/2 respectively. If line L and l skylimit 5 14 Sep 2015, 16:32
10 Experts publish their posts in the topic Line M has a y-intercept of –4, and its slope must be an integer-multi Bunuel 3 10 Mar 2015, 06:16
5 Experts publish their posts in the topic The y-intercept of line k is negative. If the slope of line k is also Pretz 3 01 Mar 2015, 21:11
25 Experts publish their posts in the topic Line l is defined by the equation y – 5x = 4 and line w is d mun23 8 24 Feb 2013, 04:56
The y intercept of line l is 4. If the slope of line l is gautamsubrahmanyam 0 27 Aug 2015, 07:52
Display posts from previous: Sort by

The y intercept of a line L is 4. If the slope of L is

  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 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®.