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

 It is currently 23 Jan 2019, 17:10

### 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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
• ### Free GMAT Number Properties Webinar

January 27, 2019

January 27, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.

# If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52431
If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what  [#permalink]

### Show Tags

21 Jan 2018, 02:33
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:12) correct 20% (01:20) wrong based on 59 sessions

### HideShow timer Statistics

If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what is the value of k ?

(A) 2
(B) 8
(C) 14
(D) 22
(E) 26

_________________
Director
Joined: 06 Jan 2015
Posts: 570
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what  [#permalink]

### Show Tags

Updated on: 21 Jan 2018, 02:46
1
Bunuel wrote:
If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what is the value of k ?

(A) 2
(B) 8
(C) 14
(D) 22
(E) 26

If points A(0, -3), B(6, 0) and C(k , 10) all lie on the same line

Slope =y2-y1/x2-x1

Slope of AB= Slope of BC

Slope of AB = 1/2

Slope BC = 1/2 =10/(k-6)

K=26

Hence E
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Originally posted by NandishSS on 21 Jan 2018, 02:41.
Last edited by NandishSS on 21 Jan 2018, 02:46, edited 1 time in total.
Retired Moderator
Joined: 25 Feb 2013
Posts: 1220
Location: India
GPA: 3.82
If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what  [#permalink]

### Show Tags

21 Jan 2018, 02:43
1
Bunuel wrote:
If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what is the value of k ?

(A) 2
(B) 8
(C) 14
(D) 22
(E) 26

Another approach can be to find the equation of the line

using points (0,-3) & (6,0) we can find the equation of the line

so we have $$y=\frac{(y_1-y_2)}{(x_1-x_2)}*x+c$$

$$=>y=\frac{-3-0}{0-6}*x+c$$

$$=>2y=x+2c$$, Now to get the value of $$2c$$, we can use points (6,0)

$$=>0=6+2c=>2c=-6$$

so equation of the line is $$2y=x-6$$

hence at (k,10) we have $$2*10=k-6$$

$$=>k=26$$

Option E
Manager
Status: EAT SLEEP GMAT REPEAT!
Joined: 28 Sep 2016
Posts: 167
Location: India
If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what  [#permalink]

### Show Tags

21 Jan 2018, 04:41
Bunuel wrote:
If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what is the value of k ?

(A) 2
(B) 8
(C) 14
(D) 22
(E) 26

When the 3 points lie on the same line.Area formed by 3 points is 0.
1/2 det|0 -3 1 |
|6 0 1 |
|k 10 1|
18-3k+60=0
k=26
_________________

Regards,

VP
Joined: 09 Mar 2016
Posts: 1287
Re: If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what  [#permalink]

### Show Tags

21 Jan 2018, 06:49
NandishSS wrote:
Bunuel wrote:
If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what is the value of k ?

(A) 2
(B) 8
(C) 14
(D) 22
(E) 26

If points A(0, -3), B(6, 0) and C(k , 10) all lie on the same line

Slope =y2-y1/x2-x1

Slope of AB= Slope of BC

Slope of AB = 1/2

Slope BC = 1/2 =10/(k-6)

K=26

Hence E

Hi NandishSS,

why slope AB = 1/2 and not -1/2 ?

-3-0/ 6-0 = -3/6 no ?

thanks!
Director
Joined: 06 Jan 2015
Posts: 570
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what  [#permalink]

### Show Tags

21 Jan 2018, 18:05
dave13 wrote:
NandishSS wrote:
Bunuel wrote:
If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what is the value of k ?

(A) 2
(B) 8
(C) 14
(D) 22
(E) 26

If points A(0, -3), B(6, 0) and C(k , 10) all lie on the same line

Slope =y2-y1/x2-x1

Slope of AB= Slope of BC

Slope of AB = 1/2

Slope BC = 1/2 =10/(k-6)

K=26

Hence E

Hi NandishSS,

why slope AB = 1/2 and not -1/2 ?

-3-0/ 6-0 = -3/6 no ?

thanks!

HI dave13,

x1=0 y1= -3 x2=6, y2=0

Slope =(y2-y1)/(x2-x1) OR Slope =(y1-y2)/(x1-x2)

Both are correct, here 0-(-3)/(6-0)= 1/2

I hope it is clear now
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

If points (0, -3), (6, 0) and (k , 10) all lie on the same line, what &nbs [#permalink] 21 Jan 2018, 18:05
Display posts from previous: Sort by