|
Author |
Message |
|
TAGS:
|
|
|
Math Expert
Joined: 02 Sep 2009
Posts: 44566
|
In the xy-coordinate system, line k has slope 1/2 and passes through [#permalink]
Show Tags
 27 Mar 2015, 05:24
D
E
Question Stats:
74% (01:01) correct 26% (00:59) wrong based on 196 sessions
HideShow timer Statistics
In the xy-coordinate system, line k has slope 1/2 and passes through point (0, 5). Which of the following points cannot lie on line k? A. (-10, 0) B. (8, 9) C. (3, 6.5) D. (-2, 2) E. (-8, 1) Kudos for a correct solution.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!
Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.
Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
|
|
|
|
|
|
Intern
Joined: 17 Feb 2015
Posts: 28
GPA: 3
|
Re: In the xy-coordinate system, line k has slope 1/2 and passes through [#permalink]
Show Tags
27 Mar 2015, 05:49
1
This post received
KUDOS
Consider equation of line be y= mx +c, where m is slope and c is y intercept. From the data in the question, m = 1/2 and c = 5.
So our equation becomes, \(y = (1/2)x + 5\)
Now, just substitute values of x-coordinate and see if the y-coordinate fits in. Option D stands out, for x = -2, y = 4 and not 2.
|
|
|
|
|
|
Math Expert
Joined: 02 Sep 2009
Posts: 44566
|
Re: In the xy-coordinate system, line k has slope 1/2 and passes through [#permalink]
Show Tags
30 Mar 2015, 03:49
Bunuel wrote: In the xy-coordinate system, line k has slope 1/2 and passes through point (0, 5). Which of the following points cannot lie on line k?
A. (-10, 0)
B. (8, 9)
C. (3, 6.5)
D. (-2, 2)
E. (-8, 1)
Kudos for a correct solution. MAGOOSH OFFICIAL SOLUTION:Attachment: 
possiblepointsonline_text.PNG [ 21.16 KiB | Viewed 2414 times ]
_________________
New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!
Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.
Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
|
|
|
|
|
|
Current Student
Status: DONE!
Joined: 05 Sep 2016
Posts: 398
|
Re: In the xy-coordinate system, line k has slope 1/2 and passes through [#permalink]
Show Tags
31 Oct 2016, 16:35
1
This post received
KUDOS
From the prompt, we can derive the equation of line K:
5=1/2(0)+5 --> y =(1/2)x+5
The only point that, when plugged into this equation is true, is option D and therefore the correct answer.
|
|
|
|
|
|
Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 875
Location: India
WE: Engineering (Other)
|
In the xy-coordinate system, line k has slope 1/2 and passes through [#permalink]
Show Tags
14 Mar 2018, 05:54
Bunuel pushpitkc niks18 Hatakekakashiamanvermagmat chetan2uI agree with OE, but it is far too time consuming to check each and every answer choice. Any efficient way to do this?
_________________
It's the journey that brings us happiness not the destination.
|
|
|
|
|
|
Math Expert
Joined: 02 Aug 2009
Posts: 5768
|
Re: In the xy-coordinate system, line k has slope 1/2 and passes through [#permalink]
Show Tags
14 Mar 2018, 06:15
adkikani wrote: Bunuel pushpitkc niks18 Hatakekakashiamanvermagmat chetan2uI agree with OE, but it is far too time consuming to check each and every answer choice. Any efficient way to do this? Hi, You will have to generally substitute as Question asks which of the following, you can ofcourse make it easier.. 1) 1/2 means change of 1 in y gives increase of 2 in x.. So (0,5).. A) (-10,0) Decrease of (5-0) should give 2*-5=-10.., so (-10,0) is ok B) (8,9) Increase of (9-5=4) should give 2*4=8.., so (8,9) is ok C)(3,6.5) Increase of (6.5-5=1.5) should give 2*1.5=3.., so (3,6.5) is ok D) (-2,2) Decrease of (5-2=3) should give 2*-3=-6.., so (-2,2) is Not o.. ok it should be (-6,2) E (-8,1) Decrease of (5-1=4) should give 2*-4=-8.., so (-8,1) is ok
_________________
Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
GMAT online Tutor
|
|
|
|
|
|
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2447
Location: United States (CA)
|
Re: In the xy-coordinate system, line k has slope 1/2 and passes through [#permalink]
Show Tags
14 Mar 2018, 15:59
Bunuel wrote: In the xy-coordinate system, line k has slope 1/2 and passes through point (0, 5). Which of the following points cannot lie on line k?
A. (-10, 0)
B. (8, 9)
C. (3, 6.5)
D. (-2, 2)
E. (-8, 1) The equation for line k is y = (1/2)x + 5. Let’s see which set of points cannot lie on line k. A. (-10, 0) 0 = (1/2)(-10) + 5 0 = 0 (-10, 0) lies on line K. B. (8, 9) 9 = (1/2)(8) + 5 9 = 9 (8, 9) lies on line k. C. (3, 6.5) 6.5 = (1/2)(3) + 5 6.5 = 6.5 (3, 6.5) lies on line k. D. (-2, 2) 2 = (1/2)(-2) + 5 2 ≠ 4 (-2, 2) is not on line k. Answer: D
_________________
Scott Woodbury-Stewart
Founder and CEO
 
GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions
|
|
|
|
|
|
|
Re: In the xy-coordinate system, line k has slope 1/2 and passes through
[#permalink]
14 Mar 2018, 15:59
|
|
|
|
|
|
|
|
|
|
|
