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# Which of the following could be the slope of a line that passes betwee

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Math Expert
Joined: 02 Sep 2009
Posts: 58381
Which of the following could be the slope of a line that passes betwee  [#permalink]

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14 Sep 2018, 01:49
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Difficulty:

85% (hard)

Question Stats:

50% (02:09) correct 50% (02:16) wrong based on 118 sessions

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Which of the following could be the slope of a line that passes between points A and B on segment AB and passes between points C and D on segment CD?

A. 1/2

B. 5/4

C. 7/2

D. 9/2

E. 5

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Intern
Joined: 06 Mar 2016
Posts: 9
Location: India
Concentration: Strategy, Finance
GPA: 4
WE: Analyst (Computer Software)
Re: Which of the following could be the slope of a line that passes betwee  [#permalink]

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14 Sep 2018, 03:27
1
m<9/2 & m>5/4 (using cross lines) so the only answer left is 7/2
Intern
Joined: 18 Jul 2018
Posts: 6
Re: Which of the following could be the slope of a line that passes betwee  [#permalink]

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22 Oct 2018, 13:19
1
Could someone explain why the answer is not 1/2?
Thanks a lot!
Manager
Joined: 14 Jun 2018
Posts: 218
Which of the following could be the slope of a line that passes betwee  [#permalink]

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22 Oct 2018, 13:31
2
LT2018 wrote:
Could someone explain why the answer is not 1/2?
Thanks a lot!

The slope we are looking for will be between the slope of the red and blue line

Slope of red line = $$\frac{9 - (-9)}{2- (-2)} = 18/4 = 9/2 = 4.5$$
Slope of blue line = $$\frac{5- (-5)}{4- (-4)} = 10/8 = 5/4 = 1.25$$

Only Option C is within the range
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Director
Joined: 24 Nov 2016
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Which of the following could be the slope of a line that passes betwee  [#permalink]

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27 Sep 2019, 05:48
Bunuel wrote:

Which of the following could be the slope of a line that passes between points A and B on segment AB and passes between points C and D on segment CD?

A. 1/2
B. 5/4
C. 7/2
D. 9/2
E. 5

slope line AD (most inclined) < slope X < slope line BC (less inclined)
slope line AD (4,5) and (-4,-5) = 5+5/4+4 = 10/8 = 5/4
slope line BC (2,9) and (-2,-9) = 9+9/2+2 = 18/4 = 9/2
5/4 < slope X < 9/2

Which of the following could be the slope of a line that passes betwee   [#permalink] 27 Sep 2019, 05:48
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