GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Sep 2018, 04:07

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

The graph of which of the following equations is a straight line that

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49273
The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 21 Oct 2015, 21:25
3
18
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (01:10) correct 37% (01:09) wrong based on 1431 sessions

HideShow timer Statistics

Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6

Kudos for a correct solution.

Attachment:
2015-10-22_0824.png
2015-10-22_0824.png [ 7.95 KiB | Viewed 24271 times ]

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Most Helpful Expert Reply
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6219
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 22 Oct 2015, 00:09
4
3
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.



The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6




The graph shows that the line passes (-3,0) and (0,2). So the difference of x is 3(=0-(-3)), the difference of y is 2(=2-0).
The gradient of the line is, therefore, 2/3.

A parallel line should have the same gradient. Among the chioces only (A) has the gradient 2/3 (3y-2x=0 --> 3y=2x --> y= (2/3) x).
So the answer is (A).
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Most Helpful Community Reply
Intern
Intern
avatar
Joined: 19 Jul 2013
Posts: 44
GMAT ToolKit User
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 21 Oct 2015, 23:22
4
1
Vyshak wrote:
One of the lines parallel to the given line will have co-ordinates (3,-2). Substitute x = 3 and y = -2. option B satisfies the equation.

Answer: B


the slope of the given line is +ve. so you need another +ve slope line to be parallel to it. Only options A and D have that. Out of which only option a matches with the slope of 2/3 of line l. so A.
General Discussion
Retired Moderator
avatar
Joined: 29 Apr 2015
Posts: 853
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE: Asset Management (Investment Banking)
GMAT ToolKit User Premium Member
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 23 Oct 2015, 01:19
1
1
Bunuel wrote:
Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6

Kudos for a correct solution.

Attachment:
2015-10-22_0824.png


A line is parallel to line l if it has the same value for m in the formula y=mx+b. So we have to calculate the value of m of the line l in the picture:

y2-y1/x2-x1 = 2-0 / 0-(-3) = 2/3 =m = slope of line l

If you rewrite (A) to y = 2/3x, you see that A has the same slope.

Answer A.
_________________

Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.

Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2692
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 06 Nov 2015, 22:22
1
I'll go with A.
For the lines to be parallel, the slope must be the same
for the perpendicular lines, the slope of the second line is the negative reciprocal of the slope of the first line. Here, we are looking for a line with the same slope as the drawn line - 2/3
only A has the same slope.
SVP
SVP
User avatar
P
Joined: 08 Jul 2010
Posts: 2305
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 07 Nov 2015, 03:16
1
Bunuel wrote:
Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6

Kudos for a correct solution.

Attachment:
2015-10-22_0824.png


Observation 1: Line is upward rising so SLOPE MUST BE POSITIVE

Observation 2: Y-Intercept is +2

Observation 3: Slope = 2(y-intercept) / 3(x-interecpt) = 2/3


Based on "Observation 1" Options B, C and E are ruled out

Now, Options A and D remain

Based on Observation 3, Option D is ruled out which has slope=3/2

Answer: Option A

P.S. Observation 2 in this question was not necessary as we had to find a line parallel to given line for which Y-Intercept must be different. But these are critical and Primary observations that one must make before starting to solve in question of Co-ordinate Geometry
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Intern
Intern
avatar
Joined: 05 Nov 2015
Posts: 4
The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 07 Nov 2015, 08:20
Clearly, the line passes through (0,2) and (-3,0). The slope for this line : 2/3.
A line parallel to this line will have the same slope.
So, option(A) is having the slope as 2/3.

Answer is A
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6792
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 07 Nov 2015, 08:31
GMATinsight wrote:
Bunuel wrote:
Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6

Kudos for a correct solution.

Attachment:
2015-10-22_0824.png


Observation 1: Line is upward rising so SLOPE MUST BE POSITIVE

Observation 2: Y-Intercept is +2

Observation 3: Slope = 2(y-intercept) / 3(x-interecpt) = 2/3


Based on "Observation 1" Options B, C and E are ruled out

Now, Options A and D remain

Based on Observation 3, Option D is ruled out which has slope=3/2

Answer: Option A

P.S. Observation 2 in this question was not necessary as we had to find a line parallel to given line for which Y-Intercept must be different. But these are critical and Primary observations that one must make before starting to solve in question of Co-ordinate Geometry


hi,
even observation 1 is not necesary....
parallel lines have the same slope so obsn 3 is sufficient..
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Current Student
avatar
S
Joined: 20 Mar 2014
Posts: 2639
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 07 Nov 2015, 08:38
1
chetan2u wrote:
GMATinsight wrote:
Bunuel wrote:
Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6

Kudos for a correct solution.

Attachment:
2015-10-22_0824.png


Observation 1: Line is upward rising so SLOPE MUST BE POSITIVE

Observation 2: Y-Intercept is +2

Observation 3: Slope = 2(y-intercept) / 3(x-interecpt) = 2/3


Based on "Observation 1" Options B, C and E are ruled out

Now, Options A and D remain

Based on Observation 3, Option D is ruled out which has slope=3/2

Answer: Option A

P.S. Observation 2 in this question was not necessary as we had to find a line parallel to given line for which Y-Intercept must be different. But these are critical and Primary observations that one must make before starting to solve in question of Co-ordinate Geometry


hi,
even observation 1 is not necesary....
parallel lines have the same slope so obsn 3 is sufficient..


It is necessary to rule out B,C,E for their slopes are <0

Either you actually calculate the slope to rule out B,C,E or just look at the positive nature and rule these 3 options out.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6792
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 07 Nov 2015, 09:15
1
Engr2012 wrote:
chetan2u wrote:

hi,
even observation 1 is not necesary....
parallel lines have the same slope so obsn 3 is sufficient..


It is necessary to rule out B,C,E for their slopes are <0

Either you actually calculate the slope to rule out B,C,E or just look at the positive nature and rule these 3 options out.


Hi,
I think its very straight..
if one observation can eliminate all wrong choices, other observations are not necessary..
arent you required to check for slope..
if any other set of line ,other than llel lines, also has property of same slopes, only then you may require to use other obsn to eliminate choices..
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Manager
Manager
avatar
B
Joined: 13 Feb 2011
Posts: 91
GMAT ToolKit User
The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 13 Feb 2016, 19:33
Another way to look at slope can be to interpret it visually by noticing the transition through its two points (intercepts): when y increased by 2 (from 0 to 2), x increased by 3 (from -3 to 0), therefore slope = 2/3.
Intern
Intern
avatar
B
Joined: 10 Aug 2015
Posts: 33
Location: India
GMAT 1: 700 Q48 V38
GPA: 3.5
WE: Consulting (Computer Software)
Premium Member
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 11 May 2016, 02:22
Bunuel wrote:
Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6

Kudos for a correct solution.

Attachment:
2015-10-22_0824.png

Okay here is a very simple solution but you must understand that slope = rise or drop in y axis/run of x axis.(always take absolute value of x)
Now here slope = rise/run=2/3. Parallel line will also have same slope.
Check A bcz it is the easiest to check for. ... well we have a slope of 2/3. We don't even have to look at any other option.
Answer is A
Remember in PS there is only one unique solution to the problem.
Director
Director
User avatar
G
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 668
Location: United States (CA)
Age: 38
GMAT 1: 770 Q47 V48
GMAT 2: 730 Q44 V47
GMAT 3: 750 Q50 V42
GRE 1: Q168 V169
WE: Education (Education)
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 25 May 2016, 22:16
2
Attached is a visual that should help.
Attachments

Screen Shot 2016-05-25 at 9.43.21 PM.png
Screen Shot 2016-05-25 at 9.43.21 PM.png [ 61.25 KiB | Viewed 18038 times ]


_________________

Harvard grad and 99% GMAT scorer, offering expert, private GMAT tutoring and coaching, both in-person (San Diego, CA, USA) and online worldwide, since 2002.

One of the only known humans to have taken the GMAT 5 times and scored in the 700s every time (700, 710, 730, 750, 770), including verified section scores of Q50 / V47, as well as personal bests of 8/8 IR (2 times), 6/6 AWA (4 times), 50/51Q and 48/51V (1 question wrong).

You can download my official test-taker score report (all scores within the last 5 years) directly from the Pearson Vue website: https://tinyurl.com/y94hlarr Date of Birth: 09 December 1979.

GMAT Action Plan and Free E-Book - McElroy Tutoring

Contact: mcelroy@post.harvard.edu

Manager
Manager
User avatar
B
Joined: 23 Jun 2009
Posts: 196
Location: Brazil
GMAT 1: 470 Q30 V20
GMAT 2: 620 Q42 V33
GMAT ToolKit User Premium Member
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 10 Sep 2016, 17:17
1
Here is an algebraic approach :)
Attachments

Screenshot_20160910-211534.jpg
Screenshot_20160910-211534.jpg [ 551.22 KiB | Viewed 16610 times ]

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1994
The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 30 Dec 2016, 23:09
Bunuel wrote:
Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6

Kudos for a correct solution.



From the figure given, we can write the equation of the line l as -
    \(\frac{y}{2} +\frac{x}{-3} = 1\)
    \(3y - 2z = 6\)

Now any line which is parallel to the above line can be written as 3y - 2z = k where k is any real number.

Therefore we just need to look at the answer options and find an equation which matches the above general form.

And there is only one option 3y - 2z = 0. Hence the correct answer option is A. :)


Thanks,
Saquib
Quant Expert
e-GMAT

To practise ten 700+ Level Number Properties Questions attempt the The E-GMAT Number Properties Knockout



Image
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Senior Manager
Senior Manager
User avatar
G
Joined: 19 Apr 2016
Posts: 274
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 23 Jan 2017, 03:51
Bunuel wrote:
Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6

Kudos for a correct solution.

Attachment:
2015-10-22_0824.png



The slope of the given line in slope-intercept form is y=(2/3)x +4
parallel lines have same slope, so of all the given option only one equation has slope = 2/3.

Hence option A is correct.
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3517
Location: United States (CA)
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 25 Jan 2017, 10:15
Bunuel wrote:
Image
The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6


Recall that if two lines are parallel, then they have the same slope. Therefore, to solve this problem, we need to find the slope of the given line first. Using the provided diagram, we see that we have points of (-3,0) and (0,2). So we have a slope of:

(change in y)/(change in x) = (0 - 2)/(-3 - 0) = -2/-3 = 2/3

We also see that the y intercept is 2; thus, the equation of line l is:

y = (2/3)x + 2

We can manipulate the equation for line l to look more like the answer choices. We can start by multiplying the entire equation by 3 and we obtain:

3y = 2x + 6

3y - 2x = 6

Since answer choice A is the only answer with “3y - 2x,” we see that 3y - 2x = 0, must be parallel to line l.

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Intern
avatar
B
Joined: 07 Nov 2016
Posts: 8
Location: India
GMAT 1: 620 Q47 V29
GPA: 3.9
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 01 Mar 2017, 19:38
Using the points (0,2) and (-3,0) in the line equation we get the slope as 2/3 .
While trying to find the slope of given options using what is y/x we see that Option A has slope 2/3.
According to the parallel rule that slope of line 1 =slope of line 2. We can say that Option A is the correct answer
Wharton Thread Master
avatar
B
Joined: 30 May 2015
Posts: 40
GMAT ToolKit User Premium Member Reviews Badge
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 18 May 2017, 22:28
Rule 1 - Parallel lines have the same slope.
Rule 2 - If y increases, as x increases then slope is always positive => It means option B,C and E out due to negative slope
slope of line -> y intercept/x intercept => 2/3
so answer is A
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8281
Location: Pune, India
Re: The graph of which of the following equations is a straight line that  [#permalink]

Show Tags

New post 18 May 2017, 23:25
Check this post for more on the concept of slope: https://www.veritasprep.com/blog/2016/0 ... line-gmat/
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Re: The graph of which of the following equations is a straight line that &nbs [#permalink] 18 May 2017, 23:25

Go to page    1   2    Next  [ 26 posts ] 

Display posts from previous: Sort by

The graph of which of the following equations is a straight line that

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.