GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 13 Dec 2019, 17:08

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.

Close

Request Expert Reply

Confirm Cancel

In the xy-coordinate plane, if the point (0,2) lies on the graph of th

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59721
In the xy-coordinate plane, if the point (0,2) lies on the graph of th  [#permalink]

Show Tags

New post 25 Jun 2018, 06:07
1
7
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

92% (00:33) correct 8% (00:46) wrong based on 1048 sessions

HideShow timer Statistics

GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4151
Location: Canada
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th  [#permalink]

Show Tags

New post 25 Jun 2018, 06:24
2
Top Contributor
1
Bunuel wrote:
In the xy-coordinate plane, if the point (0,2) lies on the graph of the line 2x + ky = 4, what is the value of the constant k ?

A. 2

B. 1

C. 0

D. –1

E. –2


KEY CONCEPT: In order for a point to be ON a line, the x- and y-coordinates of the point must satisfy the equation of that line
So, for example, the point (3,7) lies ON the line defined by the equation y = 2x + 1, because x = 3 and y = 7 satisfy the equation y = 2x + 1
That is, 7 = 2(3) + 1

So, if the point (0,2) lies on the graph of the line 2x + ky = 4, then x = 0 and y = 2 must satisfy the equation 2x + ky = 4
Replace x and y with 0 and 2 to get: 2(0) + (k)(2) = 4
Simplify: 0 + 2k = 4
Solve: k = 2

Answer: A

RELATED VIDEO FROM OUR COURSE

_________________
Test confidently with gmatprepnow.com
Image
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2809
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th  [#permalink]

Show Tags

New post 26 Jun 2018, 18:14
2
Bunuel wrote:
In the xy-coordinate plane, if the point (0,2) lies on the graph of the line 2x + ky = 4, what is the value of the constant k ?

A. 2

B. 1

C. 0

D. –1

E. –2


Substituting 0 for x and 2 for y into the equation, we have:

2(0) + k(2) = 4

0 + 2k = 4

k = 2

Answer: A
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3158
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th  [#permalink]

Show Tags

New post 25 Jun 2018, 06:15
1
1

Solution



Given:
    • In the xy-coordinate plane, the point (0,2) lies on the graph of the line 2x + ky = 4

To find:
    • The value of the constant k

Approach and Working:
As the point (0, 2) lies on the graph of the line 2x + ky = 4, it will satisfy the equation of the line

Therefore, we can write,
    • 2 * 0 + k * 2 = 4
    Or, 0 + 2k = 4
    Or, 2k = 4
    Or, k = 2

Hence, the correct answer is option A.

Answer: A
_________________
Intern
Intern
User avatar
B
Joined: 15 Sep 2018
Posts: 31
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th  [#permalink]

Show Tags

New post 16 Sep 2018, 15:02
1
Solution:

Step 1: If the point (0, 2) lies on the graph of the line 2x + ky = 4, then, the coordinate x = 0, y = 2 are a possible solution of the equation 2x + ky = 4.

Step 2: Following from Step 1 above, when x = 0 and y = 2, the equation 2x + ky = 4 becomes 2(0) + k(2) = 4. Hence, 0 + 2K = 4.

Therefore, k = 4/2 = 2. The answer is
GMAT Club Bot
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th   [#permalink] 16 Sep 2018, 15:02
Display posts from previous: Sort by

In the xy-coordinate plane, if the point (0,2) lies on the graph of th

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne