Last visit was: 15 Jul 2024, 12:57 It is currently 15 Jul 2024, 12:57
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

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

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94354
Own Kudos [?]: 641096 [11]
Given Kudos: 85011
Intern
Joined: 06 Mar 2016
Posts: 13
Own Kudos [?]: 16 [1]
Given Kudos: 24
Location: India
Concentration: Strategy, Finance
GMAT 1: 720 Q50 V42
GPA: 4
WE:Analyst (Computer Software)
Intern
Joined: 18 Jul 2018
Posts: 5
Own Kudos [?]: 1 [1]
Given Kudos: 15
Manager
Joined: 14 Jun 2018
Posts: 171
Own Kudos [?]: 261 [2]
Given Kudos: 176
Which of the following could be the slope of a line that passes betwee [#permalink]
2
Kudos
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
Attachments

1234.PNG [ 24.3 KiB | Viewed 1977 times ]

SVP
Joined: 24 Nov 2016
Posts: 1712
Own Kudos [?]: 1360 [0]
Given Kudos: 607
Location: United States
Which of the following could be the slope of a line that passes betwee [#permalink]
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