It is currently 18 Jun 2019, 19:33
My Tests

Close

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
Your Progress

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.

In the xy-plane, the points (a, 0) and (0, b) are on the lin

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 6901
Followers: 114

Kudos [?]: 1343 [0], given: 6316

CAT Tests
In the xy-plane, the points (a, 0) and (0, b) are on the lin [#permalink] New post 21 Nov 2017, 13:02
Expert's post
00:00

Question Stats:

77% (00:40) correct 22% (01:07) wrong based on 40 sessions
In the xy-plane, the points (a, 0) and (0, b) are on the line whose equation is \(y = \frac{1}{2} x + 10\)

Quantity A
Quantity B
a
b


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
Director
Director
User avatar
Joined: 07 Jan 2018
Posts: 644
Followers: 7

Kudos [?]: 602 [1] , given: 88

Re: In the xy-plane, the points (a, 0) and (0, b) are on the lin [#permalink] New post 19 Jan 2018, 01:28
1
This post received
KUDOS
Explanation

to get the value for point a
we replace 0 for y in the given equation
this gives 0=1/2 x + 10
-10=1/2 x>>>-20 = x

for b
replace 0 for x to get
y= 10
(B)
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

1 KUDOS received
Intern
Intern
Joined: 24 Jan 2018
Posts: 31
Followers: 0

Kudos [?]: 4 [1] , given: 8

Re: In the xy-plane, the points (a, 0) and (0, b) are on the lin [#permalink] New post 26 Jan 2018, 09:12
1
This post received
KUDOS
We replace:
(a,0)--> 0=1/2(a)+10; so we get a=-20
(0,b)--> b=1/2(0)+10 we get b=10
b>a
1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1981
Followers: 60

Kudos [?]: 1803 [1] , given: 9

CAT Tests
Re: In the xy-plane, the points (a, 0) and (0, b) are on the lin [#permalink] New post 24 May 2019, 15:56
1
This post received
KUDOS
Expert's post
Carcass wrote:
In the xy-plane, the points (a, 0) and (0, b) are on the line whose equation is \(y = \frac{1}{2} x + 10\)

Quantity A
Quantity B
a
b


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Since the points (a, 0) and (0, b) lie ON the line \(y = \frac{1}{2} x + 10\), we know that the coordinates of those point must satisfy the equation of the line

That is, x = a and y = 0 satisfies the equation \(y = \frac{1}{2} x + 10\)
And x = 0 and y = b satisfies the equation \(y = \frac{1}{2} x + 10\)

Let's test each of these.
(a, 0)
replace x with a and y with 0 to get: \(0 = \frac{1}{2} a + 10\)
Subtract 10 from both sides: \(-10 = \frac{1}{2} a\)
Divide both sides by 1/2 to get: \(-20 = a\)


(0, b)
replace x with 0 and y with b to get: \(b = \frac{1}{2}(0) + 10\)
Simplify: \(b = 10\)

We get:
QUANTITY A: -20
QUANTITY B: 10

Answer: B

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for my free GRE Question of the Day emails

Re: In the xy-plane, the points (a, 0) and (0, b) are on the lin   [#permalink] 24 May 2019, 15:56
Display posts from previous: Sort by

In the xy-plane, the points (a, 0) and (0, b) are on the lin

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.