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

 It is currently 18 Sep 2018, 22:20

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

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

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

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49231
If the line passes through the origin, what is the value of k?  [#permalink]

Show Tags

23 Aug 2018, 23:15
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:16) correct 14% (00:36) wrong based on 28 sessions

HideShow timer Statistics

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

Attachment:

GMAT_PS_Magoosh_85.png [ 4.28 KiB | Viewed 303 times ]

_________________
 Magoosh Discount Codes Jamboree Discount Codes e-GMAT Discount Codes
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 839
WE: Supply Chain Management (Energy and Utilities)
Re: If the line passes through the origin, what is the value of k?  [#permalink]

Show Tags

23 Aug 2018, 23:24
Bunuel wrote:

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

Attachment:
GMAT_PS_Magoosh_85.png

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)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Manager
Joined: 14 Jun 2018
Posts: 57
Re: If the line passes through the origin, what is the value of k?  [#permalink]

Show Tags

24 Aug 2018, 00:16
1
The slope of both points will be the same
k-0/14-0 = 7-0/-4-0
k = -24.5
Re: If the line passes through the origin, what is the value of k? &nbs [#permalink] 24 Aug 2018, 00:16
Display posts from previous: Sort by

Events & Promotions

 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®.