NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 05:04 It is currently 24 Apr 2024, 05:04
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

Which of the following could be the equation of a line parallel to the

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 [?]: 618713 [0]
Given Kudos: 81586
Send PM
CAT Tests Forum Quiz Mode
Which of the following could be the equation of a line parallel to the [#permalink] New post   09 Oct 2018, 21:47
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

85% (00:45) correct 15% (00:41) wrong based on 127 sessions
Hide Show timer Statistics
Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?


(A) \(y = \frac{2}{3} x + 7\)

(B) \(y = - \frac{2}{3}x + 7\)

(C) \(y = \frac{3}{2}x + 7\)

(D) \(y = - \frac{3}{2}x + 7\)

(E) \(y = \frac{3}{2}x – 7\)
ShowHide Answer
Official Answer
D
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5957
Own Kudos [?]: 13386 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: Which of the following could be the equation of a line parallel to the [#permalink] New post   10 Oct 2018, 02:22
Expert Reply
Bunuel wrote:
Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?


(A) \(y = \frac{2}{3} x + 7\)

(B) \(y = - \frac{2}{3}x + 7\)

(C) \(y = \frac{3}{2}x + 7\)

(D) \(y = - \frac{3}{2}x + 7\)

(E) \(y = \frac{3}{2}x – 7\)


CONCEPT: For lines to be parallel, The lines must have Same slope \(m_1 = m_2\)

Given Line may be re-written as y = (-3/2)x+4
i.e. Slope of given line, \(m_1 = -(3/2)\)

Option D i.e. \(y = - \frac{3}{2}x + 7\) also has slope \(m_2 = -(3/2)\)

hence answer: Option D
User avatar
B
Farina
Manager
Manager
Joined: 21 Aug 2019
Posts: 105
Own Kudos [?]: 42 [0]
Given Kudos: 353
Send PM
Which of the following could be the equation of a line parallel to the [#permalink] New post   14 Feb 2020, 06:12
Parallel lines have same slope so m1=m2
given equation can be re-written as : (-3x+8)/2 or -3x/2 + 4
so, m=-(3/2)x
search the same slope in options, hence IMO option D
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18753
Own Kudos [?]: 22043 [1]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Which of the following could be the equation of a line parallel to the [#permalink] New post   29 Mar 2021, 11:02
1
Kudos
Expert Reply
Bunuel wrote:
Which of the following could be the equation of a line parallel to the line 3x + 2y = 8?


(A) \(y = \frac{2}{3} x + 7\)

(B) \(y = - \frac{2}{3}x + 7\)

(C) \(y = \frac{3}{2}x + 7\)

(D) \(y = - \frac{3}{2}x + 7\)

(E) \(y = \frac{3}{2}x – 7\)

Solution:

If two lines are parallel, then they have the same slope. So let’s rewrite the given equation in slope-intercept form:

3x + 2y = 8

2y = -3x + 8

y = (-3/2)x + 4

We see that the slope of the line is -3/2 and the only answer choice that also has a slope of -3/2 is choice D.

Answer: D
GMAT Club Bot
gmatclubot
Re: Which of the following could be the equation of a line parallel to the [#permalink]
29 Mar 2021, 11:02
Moderators:
Bunuel
Math Expert
92901 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 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