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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: 52971
Which of the following could be the slope of a line that passes betwee  [#permalink]

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14 Sep 2018, 00:49
00:00

Difficulty:

85% (hard)

Question Stats:

41% (01:59) correct 59% (02:09) wrong based on 91 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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image024.jpg [ 5.72 KiB | Viewed 808 times ]

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Concentration: Strategy, Finance
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Re: Which of the following could be the slope of a line that passes betwee  [#permalink]

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14 Sep 2018, 02:27
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, 12:19
Could someone explain why the answer is not 1/2?
Thanks a lot!
Manager
Joined: 14 Jun 2018
Posts: 223
Which of the following could be the slope of a line that passes betwee  [#permalink]

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22 Oct 2018, 12:31
1
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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Which of the following could be the slope of a line that passes betwee   [#permalink] 22 Oct 2018, 12:31
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