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# What is the slope of the line K?

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Math Expert
Joined: 02 Aug 2009
Posts: 7334
What is the slope of the line K?  [#permalink]

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05 Feb 2019, 05:03
00:00

Difficulty:

45% (medium)

Question Stats:

50% (00:52) correct 50% (01:08) wrong based on 24 sessions

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What is the slope of the line K?
(1) (3, a) passes through line K.
(2) (a, 3) also passes through line k

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: What is the slope of the line K?  [#permalink]

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05 Feb 2019, 18:23
chetan2u wrote:
What is the slope of the line K?
(1) (3, a) passes through line K.
(2) (a, 3) also passes through line k

At the first look, it would tell you that answer is E as both have a variable 'a', but always buy the values when you are combining two statements.
Slope is $$\frac{y_2-y_1}{x_2-x_1}=\frac{3-a}{a-3}=\frac{-1(a-3)}{a-3}=-1$$
Thus slope is -1 and both statements combined are sufficient.

C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

##### General Discussion
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Joined: 18 Aug 2017
Posts: 1928
Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: What is the slope of the line K?  [#permalink]

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05 Feb 2019, 05:05
chetan2u wrote:
What is the slope of the line K?
(1) (3, a) passes through line K.
(2) (a, 3) also passes through line k

slope of line = y2-y1/x2-x1
#1
we have only 1 set of coordinate available ; not sufficient
#2
again not sufficient
from 1& 2
x1,y1 and x2,y2 are know
slope can be determined
IMO C
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Intern
Joined: 21 Jan 2019
Posts: 7
Re: What is the slope of the line K?  [#permalink]

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05 Feb 2019, 05:57
Is the answer E, because the question is not asking whether it's positive slope or negative slope.... We don't know what is the value of "a" ... a can take any value.... I don't know whether my approach is right or wrong... Can anyone help me out??

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Re: What is the slope of the line K?   [#permalink] 05 Feb 2019, 05:57
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