January 26, 2019 January 26, 2019 07:00 AM PST 09:00 AM PST Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions. January 27, 2019 January 27, 2019 07:00 AM PST 09:00 AM PST Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 22 Sep 2010
Posts: 77

In a rectangular coordinate system, which of the following
[#permalink]
Show Tags
Updated on: 22 Sep 2012, 09:03
Question Stats:
66% (02:09) correct 34% (02:26) wrong based on 475 sessions
HideShow timer Statistics
In a rectangular coordinate system, which of the following points is intersected by the line connected by the coordinates (5,6) and (21,18)? A. (9,9) B. (12,12) C. (13,13) D. (12,13) E. (16,15)
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by pzazz12 on 20 Oct 2010, 01:55.
Last edited by Bunuel on 22 Sep 2012, 09:03, edited 1 time in total.
Edited the question.




Math Expert
Joined: 02 Sep 2009
Posts: 52431

Re: In a rectangular coordinate system ............
[#permalink]
Show Tags
20 Oct 2010, 02:05
pzazz12 wrote: In a rectangular coordinate system ,which of the following points is intersected by the line connected by the coordinates (5,6) and(21,18)? A.(9,9) B.(12,12) C.(13,13) D.(12,13) E.(16,15) The slope of a line passing through the points (5,6) and (21,18) is "rise over run": \(\frac{186}{215}=\frac{3}{4}\). The slope of a line passing through the point (5,6) and one of the points from the answer choice must also be \(\frac{3}{4}\) (as it's the same lin), so \(\frac{y6}{x5}=\frac{3}{4}\). Answer choice A works: \(\frac{96}{95}=\frac{3}{4}\). Answer: A. For more on these issues check Coordinate Geometry chapter of Math Book: mathcoordinategeometry87652.htmlHope it helps.
_________________
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




Manager
Joined: 08 Sep 2010
Posts: 170
Location: India
WE 1: 6 Year, Telecom(GSM)

Re: In a rectangular coordinate system ............
[#permalink]
Show Tags
20 Oct 2010, 02:15
pzazz12 wrote: In a rectangular coordinate system ,which of the following points is intersected by the line connected by the coordinates (5,6) and(21,18)? A.(9,9) B.(12,12) C.(13,13) D.(12,13) E.(16,15) Equation of the line connecting the two points,(5,6) and (21,18); y6= {(618)/(521)}(x5) or , 4y3x=9 Only ( 9,9) is satisfying the equation.Hence answer is A. Consider KUDOS if its helpful to u .Thanks.



Current Student
Joined: 23 May 2013
Posts: 187
Location: United States
Concentration: Technology, Healthcare
GPA: 3.5

In a rectangular coordinate system, which of the following
[#permalink]
Show Tags
31 Dec 2014, 09:24
I found the equation of the line to be \(y = \frac{3x}{4} + \frac{9}{4}.\). Then, noticing that 3 of the options had the same value for x and y, I wanted to check at which point on the line the x and y values were equal. So I solved for x:
\(x = \frac{3x}{4} + \frac{9}{4}\) \(\frac{x}{4} = \frac{9}{4}.\) \(x = 9.\)
Therefore, (9,9) is a point on the line and our answer is A.
Further: If we would have found some other value (one that wasn't listed on the answer choices) then we at least could have eliminated 3 of the answer choices and then manually checked the other two.



Director
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 533
Location: India

Re: In a rectangular coordinate system, which of the following
[#permalink]
Show Tags
08 Mar 2017, 01:19
equation of line: y6 = {(186)/(215)} (x5) rearranging we get 4y3x = 9. Put the co ordinates, given in the option, in the equation. we will get (9,9) as answer Option A
_________________
GMAT Mentors



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4612
Location: United States (CA)

Re: In a rectangular coordinate system, which of the following
[#permalink]
Show Tags
10 Mar 2017, 09:35
pzazz12 wrote: In a rectangular coordinate system, which of the following points is intersected by the line connected by the coordinates (5,6) and (21,18)?
A. (9,9) B. (12,12) C. (13,13) D. (12,13) E. (16,15) Let’s first create the equation of a line for coordinates (5,6) and (21,18). Slope = Δy/Δx = 12/16 = 3/4. We can substitute in either ordered pair to calculate the yintercept. Let’s use (5,6): y = (3/4)x + b 6 = (3/4)(5) + b 6 = 15/4 + b 24/4 = 15/4 + b 9/4 = b Thus, y = (3/4)x + 9/4 Let’s now substitute each set of coordinates to see which holds true in our equation. A) (9,9) 9 = (3/4)(9) + 9/4 ? 9 = 27/4 + 9/4 ? 9 = 36/4 ? 9 = 9 ? → Yes! Answer: A
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Manager
Joined: 30 Apr 2013
Posts: 78

Re: In a rectangular coordinate system, which of the following
[#permalink]
Show Tags
31 Aug 2017, 23:56
Can someone solve this using graph?



CEO
Joined: 11 Sep 2015
Posts: 3358
Location: Canada

Re: In a rectangular coordinate system, which of the following
[#permalink]
Show Tags
29 Mar 2018, 15:37
pzazz12 wrote: In a rectangular coordinate system, which of the following points is intersected by the line connected by the coordinates (5,6) and (21,18)?
A. (9,9) B. (12,12) C. (13,13) D. (12,13) E. (16,15) One approach is to first find the slope Slope = (18  6)/(21  5) = 12/16 = 3/ 4IMPORTANT: if the slope is 3/ 4, then we can start at (5,6) and move up 3 spaces and then move right 4 spaces to find other points on the line (with INTEGER values) Start at: (5,6) Move 3 units up and 4 units to the right to get to the point (9,9) (check answer choices  it's there!) Answer: A Cheers , Brent
_________________
Test confidently with gmatprepnow.com




Re: In a rectangular coordinate system, which of the following &nbs
[#permalink]
29 Mar 2018, 15:37






