Last visit was: 08 Jun 2026, 01:47 It is currently 08 Jun 2026, 01:47
Home
Messages
MBA Fair
Tests
Schools
Events
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 08 Jun 2026
Posts: 111,139
Own Kudos:
819,468
 [20]
Given Kudos: 106,719
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 111,139
Kudos: 819,468
 [20]
If the line passes through the origin, what is the value of k? 23 Aug 2018, 23:15
Kudos
Add Kudos
20
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

81% (01:37) correct 19% (01:51) wrong based on 340 sessions

History

Date
Time
Result
Not Attempted Yet

If the line passes through the origin, what is the value of k?


A. -8
B. -12.5
C. -18
D. -24.5
E. -28

Show Spoiler
Attachment:
GMAT_PS_Magoosh_85.png
GMAT_PS_Magoosh_85.png [ 4.28 KiB | Viewed 17033 times ]
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
pandeyashwin
User avatar
Joined: 14 Jun 2018
Last visit: 25 Jan 2019
Posts: 165
Own Kudos:
328
 [8]
Given Kudos: 176
Posts: 165
Kudos: 328
 [8]
If the line passes through the origin, what is the value of k? 24 Aug 2018, 00:16
6
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
The slope of both points will be the same
k-0/14-0 = 7-0/-4-0
k = -24.5
General Discussion
User avatar
PKN
User avatar
Joined: 01 Oct 2017
Last visit: 11 Oct 2025
Posts: 809
Own Kudos:
1,647
 [2]
Given Kudos: 41
Status:Learning stage
WE:Supply Chain Management (Energy)
Posts: 809
Kudos: 1,647
 [2]
If the line passes through the origin, what is the value of k? 23 Aug 2018, 23:24
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

If the line passes through the origin, what is the value of k?


A. -8
B. -12.5
C. -18
D. -24.5
E. -28

Show Spoiler
Attachment:
GMAT_PS_Magoosh_85.png
Show more

Equation of line passing through the given points (-4,7) and (14,k) is:

\(y-7=\frac{k-7}{14-(-4)}*(x-(-4))\)

Since this line passes through origin(0,0), hence

\(0-7= \frac{k-7}{18}*(0+4)\)
Or, \(k-7=\frac{-7*18}{4}\)
Or, k=-31.5+7=-24.5

Ans. (D)
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,733
Own Kudos:
36,720
 [3]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,733
Kudos: 36,720
 [3]
If the line passes through the origin, what is the value of k? 20 Feb 2020, 07:50
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Bunuel

If the line passes through the origin, what is the value of k?


A. -8
B. -12.5
C. -18
D. -24.5
E. -28
Show Spoiler
Attachment:
GMAT_PS_Magoosh_85.png
Show more

Since the line passes through the origin, we know that the point (0, 0) also lies on the line.

Key property: The slope between any two points on a line will always be the same
This means: the slope between points (-4, 7) and (0, 0) must be equal to slope between points (0, 0) and (14, k)

We can now apply the slope formula to write: \(\frac{0 - 7}{0 - (-4)}=\frac{k - 0}{14 - 0}\)

Simplify: \(\frac{-7}{4}=\frac{k}{14}\)

Cross multiply to get: \(4k = (-7)(14)\)

Divide both sides of the equation by 4 to get: \(k = \frac{(-7)(14)}{4}= \frac{-98}{4}=-24.5\)

Answer: D

Cheers,
Brent
User avatar
MathRevolution
User avatar
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Last visit: 27 Sep 2022
Posts: 10,060
Own Kudos:
20,165
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Expert
Expert reply
GMAT 1: 760 Q51 V42
Posts: 10,060
Kudos: 20,165
If the line passes through the origin, what is the value of k? 03 May 2021, 00:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
\(\frac{K}{7} = \frac{14}{-4}\)

K = \(\frac{14 * 7}{ -4} = -24.5\)

Answer D
User avatar
Paras96
User avatar
Joined: 11 Sep 2022
Last visit: 30 Dec 2023
Posts: 454
Own Kudos:
341
Given Kudos: 2
Location: India
Paras: Bhawsar
GMAT 1: 590 Q47 V24
GMAT 2: 580 Q49 V21
GMAT 3: 700 Q49 V35
GPA: 3.2
WE:Project Management (Other)
GMAT 3: 700 Q49 V35
Posts: 454
Kudos: 341
If the line passes through the origin, what is the value of k? 11 Sep 2023, 12:14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If the line passes through the origin, what is the value of k?

When a line passes through the origin, its equation becomes y=mx where m is the slope of the line

For 1st point
=>7=-4m i.e. => m = -7/4
For 2nd pint
=> k=14m =14*-7/4 = -24.5

Hence D
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,187
Own Kudos:
1,129
Posts: 39,187
Kudos: 1,129
If the line passes through the origin, what is the value of k? 28 May 2026, 02:09
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderator:
Bunuel
Math Expert
111139 posts