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

 It is currently 19 Oct 2019, 05:28 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.  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

Math Expert V
Joined: 02 Sep 2009
Posts: 58449
In the xy-coordinate plane, if the point (0,2) lies on the graph of th  [#permalink]

Show Tags

1
7 00:00

Difficulty:   5% (low)

Question Stats: 92% (00:33) correct 8% (00:46) wrong based on 986 sessions

HideShow timer Statistics

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

NEW question from GMAT® Official Guide 2019

(PS02382)

_________________
e-GMAT Representative V
Joined: 04 Jan 2015
Posts: 3074
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th  [#permalink]

Show Tags

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.

_________________
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4009
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th  [#permalink]

Show Tags

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

RELATED VIDEO FROM OUR COURSE

_________________
Target Test Prep Representative G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th  [#permalink]

Show Tags

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

_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com

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.

Intern  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

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 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  