In xy-coordinate plane, the slope of line L is 3/4. Does lin : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 21 Jan 2017, 07:53

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In xy-coordinate plane, the slope of line L is 3/4. Does lin

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

### Hide Tags

Manager
Status: Tougher times ...
Joined: 04 Nov 2012
Posts: 51
Location: India
GMAT 1: 480 Q32 V25
WE: General Management (Manufacturing)
Followers: 2

Kudos [?]: 26 [3] , given: 44

In xy-coordinate plane, the slope of line L is 3/4. Does lin [#permalink]

### Show Tags

23 Apr 2013, 00:07
3
This post received
KUDOS
7
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

82% (01:46) correct 18% (01:15) wrong based on 266 sessions

### HideShow timer Statistics

In xy-coordinate plane, the slope of line L is 3/4. Does line L pass through point (-2/3, 1/2)?

(1) Line L passes through (4 ,4)
(2) Line L passes through (-4, -2)
[Reveal] Spoiler: OA

_________________

Kabilan.K
Kudos is a boost to participate actively and contribute more to the forum

Last edited by mau5 on 01 Aug 2013, 01:27, edited 2 times in total.
Renamed the topic and edited the question.Edited Typo.
Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 630
Followers: 80

Kudos [?]: 1120 [0], given: 136

Re: Coordinate geometry [#permalink]

### Show Tags

23 Apr 2013, 02:08
2
This post was
BOOKMARKED
kabilank87 wrote:
In the XY - coordinate plane the slope of a line L is 3/4. Does the line L pass through point (-2/3 , 1/2 )

1, Line L pass through point (4,4)
2. Line L pass through point (-4,-2)

NO need to calculate anything. If you know two points on a line, you can calculate the unique slope for that line. From both the Fact statements, we can arrive at a unique slope and answer the Question Stem.

D.
_________________
Manager
Status: Tougher times ...
Joined: 04 Nov 2012
Posts: 51
Location: India
GMAT 1: 480 Q32 V25
WE: General Management (Manufacturing)
Followers: 2

Kudos [?]: 26 [0], given: 44

Re: Coordinate geometry [#permalink]

### Show Tags

23 Apr 2013, 02:38
vinaymimani wrote:
kabilank87 wrote:
In the XY - coordinate plane the slope of a line L is 3/4. Does the line L pass through point (-2/3 , 1/2 )

1, Line L pass through point (4,4)
2. Line L pass through point (-4,-2)

NO need to calculate anything. If you know two points on a line, you can calculate the unique slope for that line. From both the Fact statements, we can arrive at a unique slope and answer the Question Stem.

D.

Hi Vinay,

Will you please explain with formulas or steps ?

Thanks in advance.
_________________

Kabilan.K
Kudos is a boost to participate actively and contribute more to the forum

VP
Joined: 23 Mar 2011
Posts: 1113
Concentration: Healthcare, Strategy
Schools: Duke '16 (M)
Followers: 78

Kudos [?]: 496 [2] , given: 463

Re: Coordinate geometry [#permalink]

### Show Tags

23 Apr 2013, 02:53
2
This post received
KUDOS
3
This post was
BOOKMARKED
let the line be: y=mx+c

where m is the slope and c is the y intercept.

so y=(3/4)x+c

Statement 1:
if the line passes through 4,4 then 4=(3/4) 4 + c.. That implies c = 1. hence the equation of the line is y=(3/4)x+1. Now you can find whether line passes through -2/3,1/2

Similarly for statement 2.

You don't need to calculate all of this. You need to tell whether the statement is 'sufficient' to get an answer. in general, when the slope and a point is given you can find the equation of the line. Therefore, you can find whether any random point lies on that line or not.

Hence D.
Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 630
Followers: 80

Kudos [?]: 1120 [2] , given: 136

Re: Coordinate geometry [#permalink]

### Show Tags

23 Apr 2013, 02:56
2
This post received
KUDOS
2
This post was
BOOKMARKED
Quote:

Hi Vinay,

Will you please explain with formulas or steps ?

Thanks in advance.

If two unique points (x,y) and (p,q) are given for a line,the slope of this line = (q-y)/(p-x) or (y-q)/(x-p).

From F.S 1, we know that line passes through (4,4). Assume that it does pass through (-2/3,1/2). Then, the slope of the line has to be 3/4. Now the slope = (4-1/2)/[4-(-2/3)] = (7/2)/(14/3) = 3/4. Thus, it indeed passes through (-2/3,1/2). Sufficient.

From F.S 2, similarly, the slope = (-2-1/2)/[-4-(-2/3)] = (-5/2)/(-10/3) = 3/4. Thus, it passes through the given point. Sufficient.
Note that in case the slope didn't turn out to be 3/4, we would STILL be able to answer the question stem, with a YES or a NO.

D.
_________________
Senior Manager
Joined: 21 Jan 2010
Posts: 344
Followers: 3

Kudos [?]: 177 [0], given: 12

Re: In xy-coordinate plane, the slope of line L is 3/4. Does lin [#permalink]

### Show Tags

24 Apr 2013, 17:17
Equation of the line can be formed by using the slope and a point using the slope-point form of the line equation. Both A and B provides for the point needed to get the equation. Using equation of line we can check for the required condition. D wins.
Manager
Joined: 27 May 2012
Posts: 217
Followers: 2

Kudos [?]: 71 [1] , given: 432

Re: In xy-coordinate plane, the slope of line L is 3/4. Does lin [#permalink]

### Show Tags

01 Aug 2013, 01:19
1
This post received
KUDOS
kabilank87 wrote:
In xy-coordinate plane, the slope of line L is 3/4. Does line L pass through point (-2/3, 1/2)?

(1) Line L passes through (-4 ,4)
(2) Line L passes through (-4, -2)

Please note statement 1 has been changed from (4,4 ) to (-4, 4)

Well (-4,4) means line L does not pass through point (-2/3, 1/2)
so both the statements will contradict each other.

if statement 1 can be edited to the original format ( 4,4) that could help.
Thanks
_________________

- Stne

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 630
Followers: 80

Kudos [?]: 1120 [0], given: 136

Re: In xy-coordinate plane, the slope of line L is 3/4. Does lin [#permalink]

### Show Tags

01 Aug 2013, 01:28
stne wrote:
kabilank87 wrote:
In xy-coordinate plane, the slope of line L is 3/4. Does line L pass through point (-2/3, 1/2)?

(1) Line L passes through (-4 ,4)
(2) Line L passes through (-4, -2)

Please note statement 1 has been changed from (4,4 ) to (-4, 4)

Well (-4,4) means line L does not pass through point (-2/3, 1/2)
so both the statements will contradict each other.

if statement 1 can be edited to the original format ( 4,4) that could help.
Thanks

Thanks for noticing.
+1.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13480
Followers: 576

Kudos [?]: 163 [0], given: 0

Re: In xy-coordinate plane, the slope of line L is 3/4. Does lin [#permalink]

### Show Tags

11 Oct 2014, 17:19
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 Legend
Joined: 09 Sep 2013
Posts: 13480
Followers: 576

Kudos [?]: 163 [0], given: 0

Re: In xy-coordinate plane, the slope of line L is 3/4. Does lin [#permalink]

### Show Tags

24 Oct 2015, 11:31
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.
_________________
Manager
Joined: 13 Mar 2013
Posts: 118
Location: United States
GPA: 3.5
WE: Engineering (Telecommunications)
Followers: 0

Kudos [?]: 61 [0], given: 21

Re: In xy-coordinate plane, the slope of line L is 3/4. Does lin [#permalink]

### Show Tags

30 Oct 2015, 20:45
In xy-coordinate plane, the slope of line L is 3/4. Does line L pass through point (-2/3, 1/2)?

(1) Line L passes through (4 ,4)
(2) Line L passes through (-4, -2)

as the per the problem statement -
y = mx + c
y = ( 3/4 )x + c

now plug in the point (-2/3, 1/2)
we get
1/2 = ( -2/3) ( 3/4) x + c
on solving the above we get
c = 0

hence the question becomes c = 0 ?

St 1 ==> Line L passes through (4 ,4)
the slope of line L is 3/4

now use the equation y = mx + c
plus the values ...m = 3/4 and x = 4 , y = 4

on the solving the above we get c =1
no ..definite ans . Sufficient .

St 2 ==> solve similarly as statement 1
we again get c = 1

sufficient

hence D ans

Press Kudos if you like my post
_________________

Regards ,

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 2609
GPA: 3.82
Followers: 173

Kudos [?]: 1451 [0], given: 0

Re: In xy-coordinate plane, the slope of line L is 3/4. Does lin [#permalink]

### Show Tags

01 Nov 2015, 08:53
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

In xy-coordinate plane, the slope of line L is 3/4. Does line L pass through point (-2/3, 1/2)?

(1) Line L passes through (4 ,4)
(2) Line L passes through (-4, -2)

In the original condition, we only need to know the slop and the y-intercept, but the slope is given to be 3/4, so we only have one variable. This means we require only 1 equation when there are 2 equations given from the 2 conditions; there is high chance (D) will be our answer.
From condition 1, the answer can be either yes or no, so it is sufficient,
and in condition 2, the answer also can be both yes and no, so it is sufficient as well, making the answer D.

For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
_________________

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.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Manager
Joined: 21 Jan 2014
Posts: 105
GMAT 1: 500 Q32 V28
GPA: 4
Followers: 3

Kudos [?]: 17 [0], given: 46

Re: In xy-coordinate plane, the slope of line L is 3/4. Does lin [#permalink]

### Show Tags

11 Jan 2016, 14:28
I did understand the explanation, but with difficulty.

Does someone knows where I can find good theory of line equations and slope formula and some excercises to practice with?

Thanks in advance
Re: In xy-coordinate plane, the slope of line L is 3/4. Does lin   [#permalink] 11 Jan 2016, 14:28
Similar topics Replies Last post
Similar
Topics:
In the xy-coordinate plane, line L 1 and line L 2 intersect at the 1 05 Mar 2016, 11:59
3 If line k in the xy–coordinate plane has slope -3/2, does line k pass 4 30 Mar 2015, 04:38
7 In the xy-plane shown, is the slope of the line L negative ? 11 06 Oct 2013, 03:42
34 If line L in the xy-coordinate plane has a positive slope, 18 07 Nov 2012, 05:55
11 In the xy-plane, what is the slope of line l? 3 27 Feb 2012, 07:19
Display posts from previous: Sort by

# In xy-coordinate plane, the slope of line L is 3/4. Does lin

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

 Powered by phpBB © phpBB Group and phpBB SEO 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®.