It is currently 21 Oct 2017, 10:29

### 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

# In the xy-plane, if line k has negative slope and passes

Author Message
TAGS:

### Hide Tags

VP
Joined: 09 Jun 2010
Posts: 1403

Kudos [?]: 159 [0], given: 916

Re: In the xy-plane, if line k has negative slope and passes [#permalink]

### Show Tags

04 Mar 2013, 04:38
slope and algebraic

I want to follow this posting.

this type of hard question appear in gmatprep but dose not appear in og.
_________________

visit my facebook to help me.
on facebook, my name is: thang thang thang

Kudos [?]: 159 [0], given: 916

VP
Joined: 09 Jun 2010
Posts: 1403

Kudos [?]: 159 [0], given: 916

Re: In the xy-plane, if line k has negative slope and passes [#permalink]

### Show Tags

04 Mar 2013, 04:47
this type of question appear infrequently and so become hard questions.

never use drawings. use algebraic
_________________

visit my facebook to help me.
on facebook, my name is: thang thang thang

Kudos [?]: 159 [0], given: 916

Intern
Joined: 01 May 2013
Posts: 6

Kudos [?]: [0], given: 12

Re: In the xy-plane, if line k has negative slope and passes [#permalink]

### Show Tags

07 Jun 2013, 00:43
In the xy-plane, if line k has negative slope and passes through the point (-5,r) , is the x-intercept of line k positive?

(1) The slope of line k is -5.
(2) r > 0

the answer is E only because : as per your assumption you took x intercept as x.but it can also be negative try it with -x we cannot determine the sign of x intercept.if x intercept is (-x,0) then slope m=r-0/-5+x.
and x=r+5m/m..

Kudos [?]: [0], given: 12

Intern
Joined: 14 Oct 2014
Posts: 1

Kudos [?]: [0], given: 10

Re: In the xy-plane, if line k has negative slope and passes [#permalink]

### Show Tags

05 Dec 2014, 23:09
(1) the slope of line k is -5 => we know for each unit of "run" the line should have 5 units of "fall" => the x-intercept to be positive we should have r>25 but here the value of r is not clear => insufficient.
(2) r>0, same as (1) the value of r is not clear also we don't know the slope => insufficient.
(1) & (2): we know the slope is -5 and r>0 but r can be greater than 25 or less than it. => insufficient.

Kudos [?]: [0], given: 10

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16589

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

Re: In the xy-plane, if line k has negative slope and passes [#permalink]

### Show Tags

24 Dec 2015, 07:56
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

Intern
Joined: 03 Jul 2016
Posts: 1

Kudos [?]: [0], given: 18

Re: In the xy-plane, if line k has negative slope and passes [#permalink]

### Show Tags

25 Sep 2016, 04:29
In the xy-plane, if line k has negative slope and passes through the point (-5,r) , is the x-intercept of line k positive?

(1) The slope of line k is -5.
(2) r > 0

Hi,
Can you please tell where I am wrong.
I assumed eq of line as y=mx+c.
Let x intercept be A(x,0)
At point A,
0=mx+c
=>x=-c/m
Hence, sign of x will depend on sign of c/m
Since m is negative,
i. if c<0, -c/m <0 =>x<0
ii. if c>0, -c/m >0 =>x>0

Statement 1 is not sufficient.
As per statement 2, r>0
=> -5m+c>0
=>-5m>-c
=>5m<c
=>5<c/m or c/m >5
=> both c and m have same sign i.e. m,c<0
=> x<0
=> Statement 2 is sufficient

Kudos [?]: [0], given: 18

Senior Manager
Joined: 05 Jan 2017
Posts: 435

Kudos [?]: 59 [0], given: 15

Location: India
Re: In the xy-plane, if line k has negative slope and passes [#permalink]

### Show Tags

23 Feb 2017, 04:56
PROMPT ANALYSIS
The equation of the will be y = r + m(x+5) where m is the slope. X intercept is -r/m -5

Superset
The answer will be either yes or no.

Translation
In order to find the answer we need:
1# Exact value of m and r
2# Equations to solve m and r

STATEMENT ANALYSIS

St 1: m = -5. For this x intercept is r/5 -5. Cannot say about the sign of the expression because r can be any real number.INSUFFICIENT. Hence option a and d eliminated.

St 2: r>0. The value of -r/m -5 will depend on the value of m, which can be any real number. INSUFFICIENT. Hence option b eliminated.

St 1&st 2: r/5 -5 will be positive for natural number r>25, these kind of constraints are not given. SO INSUFFICIENT. HEnce option c eliminated.
Option E.

Kudos [?]: 59 [0], given: 15

Re: In the xy-plane, if line k has negative slope and passes   [#permalink] 23 Feb 2017, 04:56

Go to page   Previous    1   2   [ 27 posts ]

Display posts from previous: Sort by