Last visit was: 17 Nov 2024, 10:38 It is currently 17 Nov 2024, 10:38
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Line l is defined by

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 29963
Own Kudos [?]: 36250 [0]
Given Kudos: 25912
Send PM
Line l is defined by [#permalink] New post   04 Mar 2021, 02:37
Expert Reply
00:00

Question Stats:

100% (02:31) correct 0% (00:00) wrong based on 3 sessions

Hide Show timer Statistics

Line \(\ell\) is defined by the equation \(y=2x+3\)

Line \(m\) intersects line \(\ell\) at the point \((6,9)\)

Quantity A
Quantity B
The slope of line \(\ell\)
The slope of line \(m\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation
ShowHide Answer
Official Answer
D
User avatar
D
rx10
Retired Moderator
Joined: 02 Dec 2020
Posts: 1831
Own Kudos [?]: 2146 [0]
Given Kudos: 140
GRE 1: Q168 V157

GRE 2: Q167 V161
Send PM
Re: Line l is defined by [#permalink] New post   04 Mar 2021, 06:13
Slope of line L can be found by comparing the equation with y=mx+c, where m = slope

However, no details for line m is given. Only point of intersection is not enough to find the slope.

Hence Answer D
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3223 [0]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: Line l is defined by [#permalink] New post   04 Mar 2021, 07:53
Carcass wrote:
Line \(\ell\) is defined by the equation \(y=2x+3\)

Line \(m\) intersects line \(\ell\) at the point \((6,9)\)

Quantity A
Quantity B
The slope of line \(\ell\)
The slope of line \(m\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation


Carcass
Are you sure the question is correct?
The question says \(m\) and \(l\) intersect at (6,9) - But \(y = 2x + 3\) will never cross (6,9)!!
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 29963
Own Kudos [?]: 36250 [0]
Given Kudos: 25912
Send PM
Re: Line l is defined by [#permalink] New post   04 Mar 2021, 10:08
Expert Reply
OE

We know that the slope of line l is 2, but knowing the point of intersection is not enough to learn anything about the slope of line m . Therefore, a relationship between the two quantities cannot be determined.

Yes the stem is correct KarunMendiratta
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3223 [0]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: Line l is defined by [#permalink] New post   04 Mar 2021, 10:41
Carcass wrote:
OE

We know that the slope of line l is 2, but knowing the point of intersection is not enough to learn anything about the slope of line m . Therefore, a relationship between the two quantities cannot be determined.

Yes the stem is correct KarunMendiratta


The OA must be D. But I'm just asking that the question says line \(l\) and line \(m\) intersect at (6,9), right?
So (6,9) must also lie on line \(l\)

y = 2x + 3
When x = 6, y = 15
How?
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12190 [1]
Given Kudos: 136
Send PM

Top Member of the Month
Re: Line l is defined by [#permalink] New post   04 Mar 2021, 17:14
1
The official solution is correct to say that knowing the point of intersection is not enough to learn anything about the slope of a line.

However, the official solution is incorrect when it suggests the point (6, 9) lies on the line defined by y = 2x + 3
In order for any point to lie on the line y = 2x + 3, the x and y coordinates of that point must satisfy the given equation.
So, if (6, 9) lies on the line, then it must be the case that: 9 = 2(6) + 3
When we simplify this we get: 9 = 15
So, the point (6, 9) does not lie on the line defined by y = 2x + 3

If the equation of the line were rewritten as y = 2x - 3, then everything would be mathematically correct, and the answer would be D
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 29963
Own Kudos [?]: 36250 [0]
Given Kudos: 25912
Send PM
Re: Line l is defined by [#permalink] New post   05 Mar 2021, 00:31
Expert Reply
Thank you Sir
Prep Club for GRE Bot
gmatclubot
Re: Line l is defined by [#permalink]
05 Mar 2021, 00:31
Moderators:
adewale223
GRE Instructor
78 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact