NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 17:20 It is currently 26 Apr 2024, 17:20
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

m and n are the x and y coordinates, respectively, of a

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
macjas
Senior Manager
Senior Manager
Joined: 09 May 2012
Affiliations: UWC
Posts: 314
Own Kudos [?]: 8801 [20]
Given Kudos: 100
Location: Canada
Schools: Rotman '15 (A) Schulich '15 (M)
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE:Engineering (Entertainment and Sports)
Send PM
Reviews Badge
m and n are the x and y coordinates, respectively, of a [#permalink] New post   Updated on: 28 May 2012, 01:43
3
Kudos
17
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

81% (02:09) correct 19% (02:16) wrong based on 555 sessions
Hide Show timer Statistics
m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 4) both lie on the line defined by the equation x = (y/2) - (2/5), what is the value of p?

A. 4/5
B. 1
C. 2
D. 5
E. 8
ShowHide Answer
Official Answer
C

Originally posted by macjas on 27 May 2012, 09:52.
Last edited by Bunuel on 28 May 2012, 01:43, edited 2 times in total.
Edited the question
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619244 [10]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: m and n are the x and y coordinates, respectively, of a poin [#permalink] New post   28 May 2012, 01:42
5
Kudos
5
Bookmarks
Expert Reply
m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 4) both lie on the line defined by the equation x = (y/2) - (2/5), what is the value of p?
A. 4/5
B. 1
C. 2
D. 5
E. 8

The points (m, n) and (m + p, n + 4) lie on the line \(x=\frac{y}{2}-\frac{2}{5}\) means that \(m=\frac{n}{2}-\frac{2}{5}\) and \(m+p=\frac{n+4}{2}-\frac{2}{5}\).

Subtract the second equation from the first: \((m+p)-m=(\frac{n+4}{2}-\frac{2}{5})-(\frac{n}{2}-\frac{2}{5})\) --> \(p=2\).

Answer: C.
General Discussion
User avatar
avohden
Senior Manager
Senior Manager
Joined: 09 Jul 2013
Status:1,750 Q's attempted and counting
Affiliations: University of Florida
Posts: 421
Own Kudos [?]: 2977 [4]
Given Kudos: 630
Location: United States (FL)
Schools: Warrington (A)
GMAT 1: 570 Q42 V28
GMAT 2: 610 Q44 V30
GMAT 3: 600 Q45 V29
GMAT 4: 590 Q35 V35
GPA: 3.45
WE:Accounting (Accounting)
Send PM
Re: m and n are the x and y coordinates, respectively, of a [#permalink] New post   12 Oct 2013, 20:31
4
Kudos
I saw p and 4 as a ratio for the slope. I rewrote the given equation as follows: y=2x + 4/5. As the slope represents the rise/run ratio, I set-up a ratio equation as follows: 2/1 = 4/x and then solved for x, which was 2. Problem took less than 2 minutes.
User avatar
B
BrainLab
Current Student
Joined: 10 Mar 2013
Posts: 360
Own Kudos [?]: 2698 [1]
Given Kudos: 200
Location: Germany
Concentration: Finance, Entrepreneurship
Schools: WHU MBA"20 (A$)
GMAT 1: 580 Q46 V24
GPA: 3.7
WE:Marketing (Telecommunications)
Send PM
GMAT ToolKit User
Re: m and n are the x and y coordinates, respectively, of a [#permalink] New post   20 Jul 2015, 06:12
1
Kudos
1. Rewrite the equation y=2x + 4/5, so the slope is 2
2. (n+4-n)/(m+p-m)=2 --> P=2 (C)
User avatar
L
Fdambro294
VP
VP
Joined: 10 Jul 2019
Posts: 1392
Own Kudos [?]: 542 [0]
Given Kudos: 1656
Send PM
Re: m and n are the x and y coordinates, respectively, of a [#permalink] New post   27 Aug 2020, 17:14
Shame on me.... for being caught in the trap and not seeing that it is X = (y/2) and not written in the correct slope intercept form.


Geesh....

Posted from my mobile device
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18767
Own Kudos [?]: 22065 [3]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: m and n are the x and y coordinates, respectively, of a [#permalink] New post   31 Aug 2020, 11:24
1
Kudos
2
Bookmarks
Expert Reply
macjas wrote:
m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 4) both lie on the line defined by the equation x = (y/2) - (2/5), what is the value of p?

A. 4/5
B. 1
C. 2
D. 5
E. 8


Solution:

First, let’s determine the slope of the given line by putting the equation into slope-intercept form:

x = y/2 - 2/5

2x = y - 4/5

y = 2x + 4/5

We see that the slope is 2, so we can now use the two given points and the slope of 2 to determine the value of p:

(n + 4 - n) / (m + p - m) = 2

4/p = 2

4 = 2p

2 = p

Answer: C
User avatar
S
LucienH
Manager
Manager
Joined: 14 Sep 2023
Posts: 95
Own Kudos [?]: 33 [0]
Given Kudos: 25
Send PM
Re: m and n are the x and y coordinates, respectively, of a [#permalink] New post   12 Nov 2023, 08:53
The slope of a line is given as:
[(Yb - Ya)/(Xb - Xa)]
Re-writing the equation we are given:
y = 2x + 4/5 --> the slope is 2

Plugging in the x;y coordinates we are provided, we should find the value of p:
(n+4)-n)/((m+P) - m) = the slope = 2
The Ms and Ns cancel out, leaving you with:
4/P = 2 --> P = 2
GMAT Club Bot
gmatclubot
Re: m and n are the x and y coordinates, respectively, of a [#permalink]
12 Nov 2023, 08:53
Moderators:
Bunuel
Math Expert
92948 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