NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 00:31 It is currently 25 Apr 2024, 00:31
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

At what point does the line ax + y + b = 0 intersect the y-axis?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92901
Own Kudos [?]: 618868 [14]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
At what point does the line ax + y + b = 0 intersect the y-axis? [#permalink] New post   20 Mar 2016, 11:20
14
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

79% (00:41) correct 21% (00:50) wrong based on 532 sessions
Hide Show timer Statistics
At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5

(2) a = 3
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29918 [5]
Given Kudos: 799
Location: Canada
Send PM
At what point does the line ax + y + b = 0 intersect the y-axis? [#permalink] New post   Updated on: 03 Jul 2020, 08:06
3
Kudos
2
Bookmarks
Expert Reply
Top Contributor
Bunuel wrote:
At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5
(2) a = 3


Target question: At what point does the line ax + y + b = 0 intersect the y-axis?
This is a great candidate for REPHRASING THE TARGET QUESTION

Take the equation of the line ax + y + b = 0, and rewrite it in SLOPE Y-INTERCEPT FORM
Given: ax + y + b = 0
Subtract ax and b from both sides to get: y = -ax - b
At this point, we can see that the y-intercept is -b (and the slope is -a)
So, to determine the y-intercept, we need only determine the value of b
REPHRASED target question: What is the value of b?

Statement 1: b = 5
PERFECT!!
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: a = 3
We cannot use this information to determine the value of b.
Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

Originally posted by BrentGMATPrepNow on 07 Aug 2016, 13:57.
Last edited by BrentGMATPrepNow on 03 Jul 2020, 08:06, edited 1 time in total.
General Discussion
User avatar
bigdady
Intern
Intern
Joined: 10 Feb 2016
Posts: 4
Own Kudos [?]: 255 [2]
Given Kudos: 35
Location: Finland
Concentration: General Management, Strategy
Schools: Insead Sept'18 HBS '19 Wharton '19
WE:Information Technology (Computer Software)
Send PM
Re: At what point does the line ax + y + b = 0 intersect the y-axis? [#permalink] New post   20 Mar 2016, 12:37
2
Kudos
The answer is A.

(1) b = 5
ax + y + b = 0
y + b =0 (x=0; where the line intersect y axis)
y=-b and b is given hence Sufficient


(2) a = 3
a is the slope
ax + y + b = 0
y=-ax - b
y=-b (x=0; where the line intersect y axis)

No value for y hence Insufficient.
User avatar
B
AbdurRakib
Senior Manager
Senior Manager
Joined: 11 May 2014
Status:I don't stop when I'm Tired,I stop when I'm done
Posts: 474
Own Kudos [?]: 38825 [0]
Given Kudos: 220
Location: Bangladesh
Concentration: Finance, Leadership
Schools: Wharton '20 Yale '20 Tepper '20
GPA: 2.81
WE:Business Development (Real Estate)
Send PM
GMAT ToolKit User
Re: At what point does the line ax + y + b = 0 intersect the y-axis? [#permalink] New post   08 Aug 2016, 03:51
Top Contributor
Bunuel wrote:
At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5

(2) a = 3


Lets rewrite the equation,ax+y+b=0 or,y=-ax-b

(1) When the line intersect the y axis ,we can write the equation,y=-a*0-b=-b.Since b=5,So y=-5.So the line intersects at (0,-5),Sufficient

(2) When the line intersect the y axis ,we can write the equation,y=-a*0-b=-b.here given a=3,but we don't know the value of b,Insufficient

Correct Answer A
User avatar
B
felippemed
Manager
Manager
Joined: 23 Jun 2009
Posts: 128
Own Kudos [?]: 713 [1]
Given Kudos: 138
Location: Brazil
GMAT 1: 470 Q30 V20
GMAT 2: 620 Q42 V33
Send PM
GMAT ToolKit User
Re: At what point does the line ax + y + b = 0 intersect the y-axis? [#permalink] New post   03 Dec 2016, 08:21
1
Kudos
I tend to investigate and make it the most visual possible to understand why the right answer is right and the other way round.

Posted from my mobile device

Posted from my mobile device
Attachments

Screenshot_20161203-131854.jpg
Screenshot_20161203-131854.jpg [ 449.78 KiB | Viewed 10060 times ]

User avatar
S
Nunuboy1994
Director
Director
Joined: 12 Nov 2016
Posts: 569
Own Kudos [?]: 118 [0]
Given Kudos: 167
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Send PM
Re: At what point does the line ax + y + b = 0 intersect the y-axis? [#permalink] New post   17 Jun 2017, 09:07
Bunuel wrote:
At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5

(2) a = 3


This question just gives the formula for the slope of a line as ax instead of mx- just rearrange

y=-ax-b

Statement 1

The b value in y=mx +/- b is the y-intercept

Suff

Statement 2

This value is just the slope

Insuff


Thus

A
User avatar
S
TheKingInTheNorth
Manager
Manager
Joined: 13 Mar 2013
Posts: 135
Own Kudos [?]: 287 [0]
Given Kudos: 25
Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE:Engineering (Telecommunications)
Send PM
Re: At what point does the line ax + y + b = 0 intersect the y-axis? [#permalink] New post   18 Jun 2017, 17:13
At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5

(2) a = 3

At what point does the line ax + y + b = 0 intersect the y-axis?
Means ,
X=0
so the equation becomes y+b=0
therefore y = -b

Hence we only need to know the value of B , to get the answer .

Hence statement A is sufficient .

Hi Bunuel ,
My approach is correct ? . Please confirm .

Regards,
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92901
Own Kudos [?]: 618868 [0]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: At what point does the line ax + y + b = 0 intersect the y-axis? [#permalink] New post   18 Jun 2017, 21:37
Expert Reply
abhisheknandy08 wrote:
At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5

(2) a = 3

At what point does the line ax + y + b = 0 intersect the y-axis?
Means ,
X=0
so the equation becomes y+b=0
therefore y = -b

Hence we only need to know the value of B , to get the answer .

Hence statement A is sufficient .

Hi Bunuel ,
My approach is correct ? . Please confirm .

Regards,


Yes. You could check the solutions above to check it.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32662
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: At what point does the line ax + y + b = 0 intersect the y-axis? [#permalink] New post   20 Sep 2022, 05:32
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 Club Bot
gmatclubot
Re: At what point does the line ax + y + b = 0 intersect the y-axis? [#permalink]
20 Sep 2022, 05:32
Moderator:
Bunuel
Math Expert
92901 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions