November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. November 17, 2018 November 17, 2018 09:00 AM PST 11:00 AM PST Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50586

In the xycoordinate system, line k has slope 1/2 and passes through
[#permalink]
Show Tags
27 Mar 2015, 04:24
Question Stats:
76% (01:35) correct 24% (01:38) wrong based on 262 sessions
HideShow timer Statistics
In the xycoordinate 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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 17 Feb 2015
Posts: 27
GPA: 3

Re: In the xycoordinate system, line k has slope 1/2 and passes through
[#permalink]
Show Tags
27 Mar 2015, 04:49
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 xcoordinate and see if the ycoordinate fits in. Option D stands out, for x = 2, y = 4 and not 2.



Math Expert
Joined: 02 Sep 2009
Posts: 50586

Re: In the xycoordinate system, line k has slope 1/2 and passes through
[#permalink]
Show Tags
30 Mar 2015, 02:49
Bunuel wrote: In the xycoordinate 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 3521 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? Extrahard Quant Tests with Brilliant Analytics



Current Student
Status: DONE!
Joined: 05 Sep 2016
Posts: 379

Re: In the xycoordinate system, line k has slope 1/2 and passes through
[#permalink]
Show Tags
31 Oct 2016, 15:35
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: 1247
Location: India
WE: Engineering (Other)

In the xycoordinate system, line k has slope 1/2 and passes through
[#permalink]
Show Tags
14 Mar 2018, 04:54
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: 7030

Re: In the xycoordinate system, line k has slope 1/2 and passes through
[#permalink]
Show Tags
14 Mar 2018, 05:15
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 (50) should give 2*5=10.., so (10,0) is ok B) (8,9) Increase of (95=4) should give 2*4=8.., so (8,9) is ok C)(3,6.5) Increase of (6.55=1.5) should give 2*1.5=3.., so (3,6.5) is ok D) (2,2) Decrease of (52=3) should give 2*3=6.., so (2,2) is Not o.. ok it should be (6,2) E (8,1) Decrease of (51=4) should give 2*4=8.., so (8,1) is ok
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)

Re: In the xycoordinate system, line k has slope 1/2 and passes through
[#permalink]
Show Tags
14 Mar 2018, 14:59
Bunuel wrote: In the xycoordinate 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 WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



CEO
Joined: 11 Sep 2015
Posts: 3116
Location: Canada

Re: In the xycoordinate system, line k has slope 1/2 and passes through
[#permalink]
Show Tags
05 Sep 2018, 05:39
Bunuel wrote: In the xycoordinate 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. Let's first determine the equation of line kA quick approach is the write the equation of line k in slope yintercept form: y = mx + b, where m = slope and b = yintercept. We're told that the slope = 0.5 and the point (0,5) tells us that the yintercept is 5 So, the equation of line k is: y = 0.5x + 5Now that we know the equation of line k, a point will be ON the line if the coordinates (x, y) satisfy the equation. So, let's take each answer choice and plug the x and ycoordinates into the equation. NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top. For more on this strategy, see my article: http://www.gmatprepnow.com/articles/han ... questions E. (8, 1) Plug x = 8 and y = 1 into the equation ( y = 0.5x + 5) to get: 1 = (0.5)(8) + 5 This works!!! So, (8, 1) is ON the line. ELIMINATE E D. (2, 2) Plug x = 2 and y = 2 into the equation ( y = 0.5x + 5) to get: 2 = (0.5)(2) + 5 Doesn't work. So, (2, 2) is NOT on the line. Answer: D
_________________
Brent Hanneson – GMATPrepNow.com




Re: In the xycoordinate system, line k has slope 1/2 and passes through &nbs
[#permalink]
05 Sep 2018, 05:39






