It is currently 13 Dec 2017, 05:25

# Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3),

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4467

Kudos [?]: 3143 [0], given: 0

GPA: 3.82
In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3), [#permalink]

### Show Tags

13 Nov 2017, 00:12
Expert's post
2
This post was
BOOKMARKED
00:00

Difficulty:

85% (hard)

Question Stats:

47% (01:47) correct 53% (02:43) wrong based on 30 sessions

### HideShow timer Statistics

[GMAT math practice question]

In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3), C(-1,7), and D(3,7). If a line passing through the origin bisects the area of the rectangle ABCD, what is the slope of the line?

A.5
B. 6
C. 7
D. 8
E. 9
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3143 [0], given: 0

Manager
Joined: 17 Oct 2016
Posts: 148

Kudos [?]: 38 [0], given: 89

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
Re: In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3), [#permalink]

### Show Tags

13 Nov 2017, 00:48
Option A

The rectangle is a square of side 4. Area =16 units.
By drawing it on a paper the area can be divided into half by a line that makes a trapezium. Area of trapezium =1/2*h*(a+b) which in this case should be equal to 8.
Solving h(a+b)=16.
Here h=4. a+b=4. The only possible case is a=1.6 and b=2.4. When a=1.6 slope is 3/0.6. Hence 5

Sent from my iPhone using GMAT Club Forum mobile app
_________________

Help with kudos if u found the post useful. Thanks

Kudos [?]: 38 [0], given: 89

Intern
Joined: 20 May 2017
Posts: 4

Kudos [?]: 0 [0], given: 0

Re: In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3), [#permalink]

### Show Tags

13 Nov 2017, 02:44

Sent from my Redmi Note 4 using GMAT Club Forum mobile app

Kudos [?]: 0 [0], given: 0

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4467

Kudos [?]: 3143 [1], given: 0

GPA: 3.82
In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3), [#permalink]

### Show Tags

15 Nov 2017, 00:51
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
=>

The line should pass through the center of the rectangle ABCD.
Then the center is $$(\frac{-1+3}{2}, \frac{3+7}{2})$$ or $$(1,5)$$
The slope of the line passing though $$(0,0)$$ and $$(1,5)$$ is $$\frac{5-0}{1-0}=5$$.

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3143 [1], given: 0

In the normal x-y coordinate plane there are 4 points A(-1,3), B(3,3),   [#permalink] 15 Nov 2017, 00:51
Display posts from previous: Sort by