It is currently 18 Oct 2017, 23:06

### 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 June
Open Detailed Calendar

# A line that passes through (–1, –4) and (3, k) has a slope =

Author Message
TAGS:

### Hide Tags

Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4422

Kudos [?]: 8432 [3], given: 102

A line that passes through (–1, –4) and (3, k) has a slope = [#permalink]

### Show Tags

19 Nov 2012, 17:30
3
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

79% (00:48) correct 21% (00:51) wrong based on 186 sessions

### HideShow timer Statistics

A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k?
(A) 3/4
(B) 1
(C) 4/3
(D) 2
(E) 7/2

See a full discussion of lines & slope in the x-y plane here:
http://magoosh.com/gmat/2012/gmat-math- ... x-y-plane/

Experts: feel free to add any other x-y plane advice you would like to share.
[Reveal] Spoiler: OA

_________________

Mike McGarry
Magoosh Test Prep

Kudos [?]: 8432 [3], given: 102

 Magoosh Discount Codes Manhattan GMAT Discount Codes Optimus Prep Discount Codes
Senior Manager
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 253

Kudos [?]: 125 [1], given: 282

Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
Re: A line that passes through (–1, –4) and (3, k) has a slope = [#permalink]

### Show Tags

29 Nov 2012, 11:32
1
KUDOS
y=mx+c is the equation. Since the line passes through (-1,-4) and (3,k) substitute this for the value of x and y.

we get 2 equations

-4=-k+c...(1)
c=-2k.......(2)

Substitute for C in equation 1. we get k=4/3.

The ans is C.
_________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan
Kudos drives a person to better himself every single time. So Pls give it generously
Wont give up till i hit a 700+

Kudos [?]: 125 [1], given: 282

Intern
Joined: 26 Mar 2010
Posts: 11

Kudos [?]: 9 [1], given: 3

Re: A line that passes through (–1, –4) and (3, k) has a slope = k. What [#permalink]

### Show Tags

04 Mar 2015, 10:50
1
KUDOS
(k+4)/(3+1)=(k+4)/4 this is the slope of the line

we also know that slope=k, then respectively

k=(k+4)/4
4k=k+4
k=4/3

Answ C

Kudos [?]: 9 [1], given: 3

Manager
Joined: 13 Dec 2013
Posts: 59

Kudos [?]: 30 [1], given: 34

Location: Iran (Islamic Republic of)
Re: A line that passes through (–1, –4) and (3, k) has a slope = k. What [#permalink]

### Show Tags

04 Mar 2015, 12:57
1
KUDOS

Since 2 points are given and we are told that a line passes through points (-1, -4) & ( 3,k) , so we have simple formula to line's slope.

slope = ( y2- y1)/ (x2-x1) Or : ( k-(-4) ) / ( 3-(-1)) = k+4/ 4 and we are told that this is equal to k

so we have : k+4/4 =k and multiple both sides by 4 and get : k+4 = 4k or 3 k=4 so , k= 4/3 answer c...

Kudos [?]: 30 [1], given: 34

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 636

Kudos [?]: 653 [0], given: 23

Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: line with variable slope [#permalink]

### Show Tags

19 Nov 2012, 18:35
2
This post was
BOOKMARKED
mikemcgarry wrote:
A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k?
(A) 3/4
(B) 1
(C) 4/3
(D) 2
(E) 7/2

See a full discussion of lines & slope in the x-y plane here:
http://magoosh.com/gmat/2012/gmat-math- ... x-y-plane/

Experts: feel free to add any other x-y plane advice you would like to share.

Slope = (y2-y1)/(x2-x1)
=> k = (k+4)/(3+1)
=> 4k = k+4
=> k =4/3

Ans C it is!
_________________

Lets Kudos!!!
Black Friday Debrief

Kudos [?]: 653 [0], given: 23

Senior Manager
Joined: 13 Aug 2012
Posts: 458

Kudos [?]: 541 [0], given: 11

Concentration: Marketing, Finance
GPA: 3.23
Re: A line that passes through (–1, –4) and (3, k) has a slope = [#permalink]

### Show Tags

07 Dec 2012, 04:43
A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k?

m = $$\frac{y2-y1}{x2-x1}$$
m = $$\frac{k-(-4)}{3-(-1)}$$

m = $$\frac{k+4}{4}$$ & $$m = k$$

$$k = \frac{k+4}{4}$$
$$4k = k+4$$
$$k = 4/3$$

_________________

Impossible is nothing to God.

Kudos [?]: 541 [0], given: 11

Math Expert
Joined: 02 Sep 2009
Posts: 41890

Kudos [?]: 128793 [0], given: 12183

A line that passes through (–1, –4) and (3, k) has a slope = k. What [#permalink]

### Show Tags

04 Mar 2015, 04:10
Expert's post
1
This post was
BOOKMARKED
A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k?

A. 3/4
B. 1
C. 4/3
D. 2
E. 7/2

Kudos for a correct solution.
_________________

Kudos [?]: 128793 [0], given: 12183

Math Expert
Joined: 02 Sep 2009
Posts: 41890

Kudos [?]: 128793 [0], given: 12183

Re: A line that passes through (–1, –4) and (3, k) has a slope = k. What [#permalink]

### Show Tags

08 Mar 2015, 14:13
Bunuel wrote:
A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k?

A. 3/4
B. 1
C. 4/3
D. 2
E. 7/2

Kudos for a correct solution.

MAGOOSH OFFICIAL SOLUTION:

This is a considerably more difficult one, which will involve some algebra. Let’s say that the “first” point is (–1, –4) and the “second,” (3, k). The rise = k + 4, which involves a variable. The run = 3 – (–1) = 4. There the slope is (k + 4)/4, and we can set this equal to k and solve for k.
(k + 4)/4 = k
k + 4 = 4k
4 = 3k
k = 4/3

_________________

Kudos [?]: 128793 [0], given: 12183

Director
Joined: 04 Jun 2016
Posts: 647

Kudos [?]: 365 [0], given: 36

GMAT 1: 750 Q49 V43
Re: A line that passes through (–1, –4) and (3, k) has a slope = k. What [#permalink]

### Show Tags

14 Jul 2016, 04:47
Slope = Delta y/Delta x
$$k=\frac{k-(-4)}{3-(-1)} ===>k= \frac{k+4}{4} ===>4k=k+4 ==>3k=4$$therefore $$k=\frac{4}{3}$$

Bunuel wrote:
A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k?

A. 3/4
B. 1
C. 4/3
D. 2
E. 7/2

Kudos for a correct solution.

_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Kudos [?]: 365 [0], given: 36

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16679

Kudos [?]: 273 [0], given: 0

Re: A line that passes through (–1, –4) and (3, k) has a slope = [#permalink]

### Show Tags

26 Aug 2016, 05:28
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.
_________________

Kudos [?]: 273 [0], given: 0

Re: A line that passes through (–1, –4) and (3, k) has a slope =   [#permalink] 26 Aug 2016, 05:28
Display posts from previous: Sort by