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The slope of line k

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The slope of line k [#permalink] New post 01 Dec 2015, 07:04
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83% (00:11) correct 16% (00:22) wrong based on 147 sessions
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#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.


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

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Re: The slope of line k [#permalink] New post 01 Dec 2015, 07:07
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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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Re: The slope of line k [#permalink] New post 27 Mar 2019, 17:06
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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.

Answer: A

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Re: The slope of line k [#permalink] New post 26 Apr 2020, 11:21
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.

Answer: A

Cheers,
Brent


Can we calculate the values also? or just the steeper line will be the decision point?
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Re: The slope of line k [#permalink] New post 26 Apr 2020, 12:47
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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
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Re: The slope of line k [#permalink] New post 06 May 2020, 11:59
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?
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Re: The slope of line k [#permalink] New post 06 May 2020, 12:06
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
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Re: The slope of line k [#permalink] New post 06 May 2020, 12:27
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
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Re: The slope of line k [#permalink] New post 07 May 2020, 09:15
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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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Re: The slope of line k   [#permalink] 07 May 2020, 09:15
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