Last visit was: 16 Jun 2024, 23:52 It is currently 16 Jun 2024, 23:52
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.

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

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93697
Own Kudos [?]: 632363 [18]
Given Kudos: 82304
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3717
Own Kudos [?]: 17147 [7]
Given Kudos: 165
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6814
Own Kudos [?]: 30567 [6]
Given Kudos: 799
Tutor
Joined: 17 Jul 2019
Posts: 1304
Own Kudos [?]: 1747 [0]
Given Kudos: 66
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th [#permalink]
Video solution from Quant Reasoning:
General Discussion
Target Test Prep Representative
Joined: 04 Mar 2011
Affiliations: Target Test Prep
Posts: 3042
Own Kudos [?]: 6458 [2]
Given Kudos: 1646
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th [#permalink]
2
Kudos
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

Intern
Joined: 15 Sep 2018
Posts: 31
Own Kudos [?]: 44 [1]
Given Kudos: 0
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th [#permalink]
1
Bookmarks
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
Intern
Joined: 06 Apr 2020
Posts: 7
Own Kudos [?]: 1 [0]
Given Kudos: 7
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th [#permalink]
Does this equation not need to be converted to the standard y = mx + b structure?
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 6015
Own Kudos [?]: 13630 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th [#permalink]
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

(PS02382)

Wanna make solving the Official Questions interesting???

Click here and solve 1000+ Official Questions with Video solutions as Timed Sectional Tests

Video solution by GMATinsight

Get TOPICWISE: Concept Videos | Practice Qns 100+ | Official Qns 50+ | 100% Video solution CLICK HERE.
Two MUST join YouTube channels : GMATinsight (1000+ FREE Videos) and GMATclub
Senior Manager
Joined: 23 Dec 2022
Posts: 316
Own Kudos [?]: 36 [0]
Given Kudos: 199
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th [#permalink]
To find the value of the constant k in the equation 2x + ky = 4, we can substitute the given point (0, 2) into the equation and solve for k.

Substituting x = 0 and y = 2 into the equation, we get:

2(0) + k(2) = 4
0 + 2k = 4
2k = 4
k = 4/2 = 2

Hence, the correct answer is A. 2.
Re: In the xy-coordinate plane, if the point (0,2) lies on the graph of th [#permalink]
Moderator:
Math Expert
93698 posts