It is currently 17 Oct 2017, 03:11

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

Which of the following equations represents a line that is perpendicul

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128512 [0], given: 12179

Which of the following equations represents a line that is perpendicul [#permalink]

Show Tags

New post 29 Oct 2014, 09:11
Expert's post
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (00:53) correct 29% (00:48) wrong based on 255 sessions

HideShow timer Statistics

Tough and Tricky questions: Coordinate Geometry.



Which of the following equations represents a line that is perpendicular to the line described by the equation 3x + 4y = 8?

A. 3x + 4y = 18
B. 3x – 4y = 24
C. 4y – 3x = 26
D. 1.5y + 2x = 18
E. 8x – 6y = 24
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 128512 [0], given: 12179

2 KUDOS received
Manager
Manager
User avatar
Status: I am not a product of my circumstances. I am a product of my decisions
Joined: 20 Jan 2013
Posts: 131

Kudos [?]: 121 [2], given: 68

Location: India
Concentration: Operations, General Management
GPA: 3.92
WE: Operations (Energy and Utilities)
GMAT ToolKit User
Re: Which of the following equations represents a line that is perpendicul [#permalink]

Show Tags

New post 30 Oct 2014, 08:16
2
This post received
KUDOS
1
This post was
BOOKMARKED
Bunuel wrote:

Tough and Tricky questions: Coordinate Geometry.



Which of the following equations represents a line that is perpendicular to the line described by the equation 3x + 4y = 8?

A. 3x + 4y = 18
B. 3x – 4y = 24
C. 4y – 3x = 26
D. 1.5y + 2x = 18
E. 8x – 6y = 24



Writing 3x + 4y = 8 in the slope intercept form Y = mx + c; we get

y = 2 - (3/4) x

slope of line = - 3/4

Slope of line perpendicular to above line = 4/3

Testing options that give a slope of 4/3

a) 3x + 4y =18
Slope = -3/4

b) 3x - 4y = 24
Slope = 3/4

c) 4y - 3x = 26
Slope = 3/4

d) 1.5y + 2x = 18
Slope = -2/1.5

e) 8x - 6y = 24
Slope = 4/3

Answer is E

Kudos [?]: 121 [2], given: 68

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16764

Kudos [?]: 273 [0], given: 0

Premium Member
Re: Which of the following equations represents a line that is perpendicul [#permalink]

Show Tags

New post 18 May 2016, 17:51
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

Kudos [?]: 273 [0], given: 0

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16764

Kudos [?]: 273 [0], given: 0

Premium Member
Re: Which of the following equations represents a line that is perpendicul [#permalink]

Show Tags

New post 24 May 2017, 07:10
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

Kudos [?]: 273 [0], given: 0

Intern
Intern
User avatar
B
Joined: 05 Jul 2016
Posts: 11

Kudos [?]: 8 [0], given: 303

Location: Brazil
Concentration: Finance, Entrepreneurship
WE: Analyst (Investment Banking)
Which of the following equations represents a line that is perpendicul [#permalink]

Show Tags

New post 25 Sep 2017, 15:41
Ashishmathew01081987 wrote:
Bunuel wrote:

Tough and Tricky questions: Coordinate Geometry.



Which of the following equations represents a line that is perpendicular to the line described by the equation 3x + 4y = 8?

A. 3x + 4y = 18
B. 3x – 4y = 24
C. 4y – 3x = 26
D. 1.5y + 2x = 18
E. 8x – 6y = 24



Writing 3x + 4y = 8 in the slope intercept form Y = mx + c; we get

y = 2 - (3/4) x

slope of line = - 3/4

Slope of line perpendicular to above line = 4/3

Testing options that give a slope of 4/3

a) 3x + 4y =18
Slope = -3/4

b) 3x - 4y = 24
Slope = 3/4

c) 4y - 3x = 26
Slope = 3/4

d) 1.5y + 2x = 18
Slope = -2/1.5

e) 8x - 6y = 24
Slope = 4/3

Answer is E


Thanks. I didn't know how to get the perpendicular slope, but google led me to this great and simple khan academy video: https://youtu.be/0671cRNjeKI

Basically, the product of the slopes of two perpendicular lines must be "-1" (they are exactly the oppose). If they were parallel, the slopes' product would be "+1" (same direction).

So, the perpendicular slope must be the NEGATIVE of the RECIPROCAL of the original slope. E.g.: m = 3/4, it's reciprocal would be 1/(3/4) = 4/3. The negative of the reciprocal: - 4/3.

Hope it helps :-D

Kudos [?]: 8 [0], given: 303

Which of the following equations represents a line that is perpendicul   [#permalink] 25 Sep 2017, 15:41
Display posts from previous: Sort by

Which of the following equations represents a line that is perpendicul

  new topic 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®.