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

It is currently 18 Jun 2018, 21:54

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

Line A is represented by the line y = 3x − 4. Which of the following

  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: 46146
Line A is represented by the line y = 3x − 4. Which of the following [#permalink]

Show Tags

New post 29 May 2018, 22:36
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (00:56) correct 17% (00:41) wrong based on 54 sessions

HideShow timer Statistics

Line A is represented by the line y = 3x − 4. Which of the following represents the equation of a line that is perpendicular to Line A and that travels through point (1,2)?


A. y = −3x + 4

B. y = −x/3 + 4/3

C. y = −3x + 3/4

D. y = −x/3 + 7/3

E. y = −x/3 − 4

_________________

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

Manager
Manager
User avatar
S
Joined: 28 Nov 2017
Posts: 143
Location: Uzbekistan
Premium Member
Re: Line A is represented by the line y = 3x − 4. Which of the following [#permalink]

Show Tags

New post 29 May 2018, 22:45
1
Bunuel wrote:
Line A is represented by the line y = 3x − 4. Which of the following represents the equation of a line that is perpendicular to Line A and that travels through point (1,2)?


A. y = −3x + 4

B. y = −x/3 + 4/3

C. y = −3x + 3/4

D. y = −x/3 + 7/3

E. y = −x/3 − 4


Don't need to recall the formulae for perpendicular lines. Just test the answer choices whether they travel through point \((1,2)\).

After checking, we can find out that only \(y = −x/3 + 7/3\) travels through point \((1,2)\).

Answer: D
_________________

Kindest Regards!
Tulkin.

Expert Post
1 KUDOS received
e-GMAT Representative
User avatar
G
Joined: 04 Jan 2015
Posts: 1499
Line A is represented by the line y = 3x − 4. Which of the following [#permalink]

Show Tags

New post 29 May 2018, 23:40
1

Solution



Given:
    • Line A is represented by y = 3x – 4

To find:
    • The equation of the line which is perpendicular to Line A ang travels through point (1, 2)

Approach and Working:
If the equation of Line A is given as y = 3x – 4,
    • Slope of Line A = 3
    • Slope of the line perpendicular to Line A = \(\frac{-1}{3}\)
[as the product of slopes of two perpendicular lines is -1]

As the perpendicular line passes through (1, 2), we can write
    • \(2 = \frac{-1}{3} * 1 + c\)
    Or, \(c = \frac{7}{3}\)
    • Therefore, the equation of the line which is perpendicular to line A:
    \(y = \frac{-1}{3}x + \frac{7}{3}\)

Hence, the correct answer is option D.

Answer: D

[Note: Obviously answer can also be determined by replacing the value in the given options]
_________________












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

Expert Post
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2570
Re: Line A is represented by the line y = 3x − 4. Which of the following [#permalink]

Show Tags

New post 31 May 2018, 16:15
Bunuel wrote:
Line A is represented by the line y = 3x − 4. Which of the following represents the equation of a line that is perpendicular to Line A and that travels through point (1,2)?


A. y = −3x + 4

B. y = −x/3 + 4/3

C. y = −3x + 3/4

D. y = −x/3 + 7/3

E. y = −x/3 − 4


A line perpendicular to a line with the equation y = 3x - 4 has a slope of -1/3. We can eliminate answer choices A and C.. Let’s substitute (1,2) into B, D and E.

B. y = −x/3 + 4/3

2 = -1/3 + 4/3

No

D. y = −x/3 + 7/3

2 = -1/3 + 7/3

2 = 2

Yes

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

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

Manager
Manager
User avatar
S
Joined: 29 Dec 2017
Posts: 217
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GPA: 3.25
WE: Marketing (Telecommunications)
CAT Tests
Line A is represented by the line y = 3x − 4. Which of the following [#permalink]

Show Tags

New post 31 May 2018, 19:27
Tulkin987 wrote:
Bunuel wrote:
Line A is represented by the line y = 3x − 4. Which of the following represents the equation of a line that is perpendicular to Line A and that travels through point (1,2)?

A. y = −3x + 4
B. y = −x/3 + 4/3
C. y = −3x + 3/4
D. y = −x/3 + 7/3
E. y = −x/3 − 4


Don't need to recall the formulae for perpendicular lines. Just test the answer choices whether they travel through point \((1,2)\).

After checking, we can find out that only \(y = −x/3 + 7/3\) travels through point \((1,2)\).
Answer: D


Hi,

Remembering the formula, one can easily to crossout A and C, this can save some time. And what if it were a 700 GMAT question and test makers would throw to you a bunch of options which include (1,2)? Try to leverage all assets in given questions.

P.S. I have no doubt that you remember the formula, yet I was trying to stress the right attitude, which will gain you another 30-40 points on your exam.
_________________

I'm looking for a study buddy in NY, who is aiming at 700+. PM me.

Line A is represented by the line y = 3x − 4. Which of the following   [#permalink] 31 May 2018, 19:27
Display posts from previous: Sort by

Line A is represented by the line y = 3x − 4. Which of the following

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


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®.