by: bhanu29
13 mins
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (01:30) correct
25%
(01:31)
wrong
based on 3268
sessions
History
Date
Time
Result
Not Attempted Yet
If k and l are lines in the xy-plane, is the slope of k less than the slope of l ?
(1) The x-intercept of line k is positive, and the x-intercept of line l is negative.
(2) Lines k and l intersect on the positive y-axis.
(DS13097)
_________________
(1) The x-intercept of line k is positive, and the x-intercept of line l is negative.
(2) Lines k and l intersect on the positive y-axis.
(DS13097)
Solving this question helps.
Taking a timed set of similar questions in
GMAT Club Forum Quiz →
is even better.
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Bunuel
Relation between slope and intercepts of a line: Slope of a line = – (y intercept)/(x intercept)
Is slopek < slopel ?
Is - yk / xk < - yl / xl ?
Is yk / xk > yl / xl ?
(1) The x-intercept of line k is positive, and the x-intercept of line ℓ is negative.
xk > 0
xl < 0
Since we don't know anything about yk and yl, this is not sufficient.
(2) Lines k and ℓ intersect on the positive y-axis.
This means both yk and yl are positive. But we don't know anything about xk and xl.
Using both, yk/xk is positive because both yk and xk are positive.
yl/xl is negative because yl is positive but xl is negative.
Then, yk / xk is certainly greater than yl / xl.
Sufficient. Answer (C)
_________________
-
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
To find if the slope of k less than the slope of ℓ
Statement 1
The x-intercept of line k is positive, and the x-intercept of line ℓ is negative.
Case 1
K can have a +ve slope when k rises upward while running from left to right and ℓ can have a -ve slope when ℓ slides downward while running from left to right
=> slope of line k > slope of line ℓ
Case 2
K can have a -ve slope when k slides downwards while running from left to right and ℓ can have a +ve slope when ℓ rises upward while running from left to right
=> slope of line k < slope of line ℓ
Statement 1 is not sufficient
Statement 2
Lines k and ℓ intersect on the positive y-axis. Both the above mentioned cases are still possible
Statement 2 is not sufficient
Combining statements 1 and 2
Since x-intercept of line k is positive and y-intercept of line k is positive => K has negative slope
Since x-intercept of line ℓ is negative and y-intercept of line ℓ is positive => ℓ has positive slope
=> slope of line ℓ > slope of line k
Statements 1 and 2 together are sufficient
Hence option C
_________________
Statement 1
The x-intercept of line k is positive, and the x-intercept of line ℓ is negative.
Case 1
K can have a +ve slope when k rises upward while running from left to right and ℓ can have a -ve slope when ℓ slides downward while running from left to right
=> slope of line k > slope of line ℓ
Case 2
K can have a -ve slope when k slides downwards while running from left to right and ℓ can have a +ve slope when ℓ rises upward while running from left to right
=> slope of line k < slope of line ℓ
Statement 1 is not sufficient
Statement 2
Lines k and ℓ intersect on the positive y-axis. Both the above mentioned cases are still possible
Statement 2 is not sufficient
Combining statements 1 and 2
Since x-intercept of line k is positive and y-intercept of line k is positive => K has negative slope
Since x-intercept of line ℓ is negative and y-intercept of line ℓ is positive => ℓ has positive slope
=> slope of line ℓ > slope of line k
Statements 1 and 2 together are sufficient
Hence option C
_________________
General Discussion
vikgupta07
IIM School Moderator
Equation: y=mx+c
Case 1 for line k: x intercept is -c/m>0
Case 1 for line l: x intercept is -c/m<0
Statement 1 is not Sufficient as in both the cases, either c could be -ve or m could be -ve
Case 2: Y intercept is positive => c is positive in the equation for both lines
Statement 2 is not Sufficient as in both the cases, slope information is not there
Combining
Case 1 for line k: x intercept is -c/m>0 , given c >0 , m is -ve
Case 1 for line l: x intercept is -c/m<0, given c>0, m is +ve
=> slope l>slope k or slope k<slope l - Sufficient
C
Hope this helps!
Case 1 for line k: x intercept is -c/m>0
Case 1 for line l: x intercept is -c/m<0
Statement 1 is not Sufficient as in both the cases, either c could be -ve or m could be -ve
Case 2: Y intercept is positive => c is positive in the equation for both lines
Statement 2 is not Sufficient as in both the cases, slope information is not there
Combining
Case 1 for line k: x intercept is -c/m>0 , given c >0 , m is -ve
Case 1 for line l: x intercept is -c/m<0, given c>0, m is +ve
=> slope l>slope k or slope k<slope l - Sufficient
C
Hope this helps!
Salsanousi
Joined: 19 Oct 2013
Last visit: 29 Dec 2020
Posts: 390
Location: Kuwait
GPA: 3.2
WE:Engineering (Real Estate)
Posts: 390
Bunuel
Best way to solve it is to draw
Refer to the drawings to have an idea of how I solved it.
answer choice C
Attachments
File comment: This is how it can be solved if combined
Combined.png [ 39.73 KiB | Viewed 38202 times ]
File comment: This is one example of how many different ways we can get for statement 2
Statement 2.png [ 45.32 KiB | Viewed 38185 times ]
File comment: This is one example of how many different ways we can get for statement 1
Statement 1.png [ 37.38 KiB | Viewed 38162 times ]
@Bunuel
@VeritasKarishma
@Chetan2u
If k and ℓ are lines in the xy-plane, is the slope of k less than the slope of ℓ ?
(1) The x-intercept of line k is positive, and the x-intercept of line ℓ is negative.
Statement 1 is not sufficient as it can lead to both possibilities .
SLope of L can be greater than that of K or slope of K can be greater than that of L.
(2) Lines k and ℓ intersect on the positive y-axis.
Statement 2 is not sufficient as it can lead to both possibilities .
SLope of L can be greater than that of K or slope of K can be greater than that of L.
Combining it's sufficient as it leads to only one possibility i.e SLope of L is greater than slope of K.
Answer is option C.
I have attached three images in support of my explanation.
Please find them attached herewith.
Please Please give me kudos if you found my explanation helpful.
(DS13097)[/quote]
@VeritasKarishma
@Chetan2u
If k and ℓ are lines in the xy-plane, is the slope of k less than the slope of ℓ ?
(1) The x-intercept of line k is positive, and the x-intercept of line ℓ is negative.
Statement 1 is not sufficient as it can lead to both possibilities .
SLope of L can be greater than that of K or slope of K can be greater than that of L.
(2) Lines k and ℓ intersect on the positive y-axis.
Statement 2 is not sufficient as it can lead to both possibilities .
SLope of L can be greater than that of K or slope of K can be greater than that of L.
Combining it's sufficient as it leads to only one possibility i.e SLope of L is greater than slope of K.
Answer is option C.
I have attached three images in support of my explanation.
Please find them attached herewith.
Please Please give me kudos if you found my explanation helpful.
NEW question from GMAT® Quantitative Review 2019
(DS13097)[/quote]
Attachments
20190414_032153_Combining.jpg [ 554.09 KiB | Viewed 36795 times ]
20190414_031608_Statement2.jpg [ 614.13 KiB | Viewed 36767 times ]
20190414_030550_Statement1.jpg [ 918.86 KiB | Viewed 36758 times ]
20190414_030550_Statement1.jpg [ 918.86 KiB | Viewed 36816 times ]
20190414_032153_Combining.jpg [ 554.09 KiB | Viewed 36757 times ]
20190414_031608_Statement2.jpg [ 614.13 KiB | Viewed 36687 times ]
Thanks
VeritasKarishma
for explaining the algebraic method.
What do you think of the graphical method that I explained earlier ?
Posted from my mobile device
VeritasKarishma
for explaining the algebraic method.
What do you think of the graphical method that I explained earlier ?
Posted from my mobile device
sayan640
Sayan60,
Certainly there is nothing wrong with graphing out the question and I am a big proponent of making diagrams etc. Just that with multiple lines and slopes and various constraints given in the statements, I find it a bit confusing and worry about missing a case or two. So I have found that the slope and intercept method I discussed above is far more efficient in these cases.
_________________
-
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
Dpkkukreja
Joined: 21 Sep 2016
Last visit: 17 Feb 2022
Posts: 26
Location: India
Schools: Said '23 (S)
GMAT 1: 710 Q48 V41
VeritasKarishma
VeritasKarishma can you please explain more about the slope formula that you used? All I knew was Slope= Rise/Run
Dpkkukreja
Check here: https://anaprep.com/geometry-using-slop ... fectively/
_________________
-
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
Might be a silly question, but suppose you have two negative slopes and one of them is more negative than the other. Is it always the case that the more positive slope is larger? Or can the more negative one be 'steeper'? Maybe I got it twisted.
CEdward
A steeper incline indicates a higher absolute value of the slope.
So, if both lines have positive slopes, then the line which is steeper has greater slope.
If both lines have negative slopes, then the line which is steeper has greater absolute value slope, its slope is "more negative", so less than the slope of another line.
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
KarishmaB
Hello KarishmaB Ma'am,
Can we use the below formula anywhere or are there any constraints?
Slope of a line = – (y intercept)/(x intercept)
Thank you for your time.
760Abhi
This is a generic formula for the slope of a line when the x intercept is not 0. Graph out a line and mark its y and x intercepts. The y and x intercepts give us two points on the line so the slope becomes defined. If the line passes through (0, 0), then both x and y intercepts are 0 and we get only one point and hence we cannot get the slope (mathematically, since x intercept is 0, we cannot use this expression)
_________________
-
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
gloomybison
Joined: 30 Mar 2021
Last visit: 02 Jan 2024
Posts: 222
Location: Turkey
Schools: Yale '26 (A) LBS '26 (WL) Booth '26 (A) Columbia CBS'26 (A) Kellogg '26 (A) Tuck '26 (A) Wharton '26 (D) Sloan '26 (D)
GMAT 1: 720 Q51 V36
GPA: 3.69
Schools: Yale '26 (A) LBS '26 (WL) Booth '26 (A) Columbia CBS'26 (A) Kellogg '26 (A) Tuck '26 (A) Wharton '26 (D) Sloan '26 (D)
GMAT 1: 720 Q51 V36
Posts: 222
gloomybison
It means that their point of intersection lies on the positive Y axis.
So they intersect at a point such as (0, 3) or (0, 10) etc.
_________________
-
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
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.
_________________
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.
_________________
Moderators:
Announcements
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.