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Founder  Joined: 18 Apr 2015
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The slope of line k [#permalink]
Expert's post 00:00

Question Stats: 83% (00:11) correct 16% (00:22) wrong based on 147 sessions
Attachment: #GREpracticequestion The slope of line k.jpg [ 6.1 KiB | Viewed 2773 times ]

 Quantity A Quantity B The slope of line $$k$$ The slope of line $$\ell$$

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.

Practice Questions
Question: 6
Page: 147
Difficulty: easy
[Reveal] Spoiler: OA

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Founder  Joined: 18 Apr 2015
Posts: 12091
Followers: 256

Kudos [?]: 3014  , given: 11279

Re: The slope of line k [#permalink]
2
KUDOS
Expert's post
Solution

Note that the slope of each of the lines is positive, since each line rises as it goes to the right. Since the slopes of both lines are positive and line k rises faster (or is steeper) than line , line k has the greater slope, and the correct answer is $$A$$.
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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. GRE Instructor Joined: 10 Apr 2015
Posts: 3535
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Kudos [?]: 4009  , given: 65

Re: The slope of line k [#permalink]
1
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Expert's post
Carcass wrote:
Attachment:
#GREpracticequestion The slope of line k.jpg

 Quantity A Quantity B The slope of line k The slope of line l

Since both lines go UP as we travel from left to right, we know that both slopes are POSITIVE
Since line k is STEEPER than line j, we know that the slope of line k is GREATER THAN the slope of line l.

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com Manager  Joined: 10 Feb 2020
Posts: 230
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Kudos [?]: 56 , given: 128

Re: The slope of line k [#permalink]
GreenlightTestPrep wrote:
Carcass wrote:
Attachment:
#GREpracticequestion The slope of line k.jpg

 Quantity A Quantity B The slope of line k The slope of line l

Since both lines go UP as we travel from left to right, we know that both slopes are POSITIVE
Since line k is STEEPER than line j, we know that the slope of line k is GREATER THAN the slope of line l.

Cheers,
Brent

Can we calculate the values also? or just the steeper line will be the decision point?
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GRE Instructor Joined: 10 Apr 2015
Posts: 3535
Followers: 133

Kudos [?]: 4009 , given: 65

Re: The slope of line k [#permalink]
Expert's post
Farina wrote:
Can we calculate the values also? or just the steeper line will be the decision point?

For this question, the aren't given any information that would help us calculate the slopes.
Instead we have to rely on the fact that both lines have positive slopes, and line k is steeper (which means that has a bigger slope)

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com Manager  Joined: 10 Feb 2020
Posts: 230
Followers: 1

Kudos [?]: 56 , given: 128

Re: The slope of line k [#permalink]
GreenlightTestPrep wrote:
Farina wrote:
Can we calculate the values also? or just the steeper line will be the decision point?

For this question, the aren't given any information that would help us calculate the slopes.
Instead we have to rely on the fact that both lines have positive slopes, and line k is steeper (which means that has a bigger slope)

Cheers,
Brent

Just want to clear my concept of steeper slope.
if y=-6x+1
and
y=2x+3

which would be steeper then?
_________________

Ever Tried? Ever Failed? No Matter. Try Again. Fail Again. Fail Better!!

GRE Instructor Joined: 10 Apr 2015
Posts: 3535
Followers: 133

Kudos [?]: 4009 , given: 65

Re: The slope of line k [#permalink]
Expert's post
Farina wrote:

Just want to clear my concept of steeper slope.
if y = -6x + 1
and
y = 2x + 3

which would be steeper then?

For the line defined by the equation y = -6x + 1, the slope is -6
For the line defined by the equation y = 2x + 3, the slope is 2

So, the line defined by the equation y = -6x + 1 is steeper.

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com Manager  Joined: 10 Feb 2020
Posts: 230
Followers: 1

Kudos [?]: 56 , given: 128

Re: The slope of line k [#permalink]
GreenlightTestPrep wrote:
Farina wrote:

Just want to clear my concept of steeper slope.
if y = -6x + 1
and
y = 2x + 3

which would be steeper then?

For the line defined by the equation y = -6x + 1, the slope is -6
For the line defined by the equation y = 2x + 3, the slope is 2

So, the line defined by the equation y = -6x + 1 is steeper.

Cheers,
Brent

Thanks a lot Brent for your guidance. I assume negative sign won't be considered and since 6>2 so slope value with -6 is steeper than +2
_________________

Ever Tried? Ever Failed? No Matter. Try Again. Fail Again. Fail Better!! GRE Instructor Joined: 10 Apr 2015
Posts: 3535
Followers: 133

Kudos [?]: 4009  , given: 65

Re: The slope of line k [#permalink]
1
KUDOS
Expert's post
Farina wrote:
GreenlightTestPrep wrote:
Farina wrote:

Just want to clear my concept of steeper slope.
if y = -6x + 1
and
y = 2x + 3

which would be steeper then?

For the line defined by the equation y = -6x + 1, the slope is -6
For the line defined by the equation y = 2x + 3, the slope is 2

So, the line defined by the equation y = -6x + 1 is steeper.

Cheers,
Brent

Thanks a lot Brent for your guidance. I assume negative sign won't be considered and since 6>2 so slope value with -6 is steeper than +2

That's correct.

In general, we can create the following rule
If line M has slope m and line N has slope n, then:
If |m| > |n|, then line M is STEEPER than line N
If |m| < |n|, then line N is STEEPER than line M

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Brent Hanneson – Creator of greenlighttestprep.com  Re: The slope of line k   [#permalink] 07 May 2020, 09:15
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