December 10, 2018 December 10, 2018 10:00 PM PST 11:00 PM PST Practice the one most important Quant section  Integer properties, and rapidly improve your skills. December 11, 2018 December 11, 2018 09:00 PM EST 10:00 PM EST Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 19 Jul 2008
Posts: 23

In the rectangular coordinate system shown does the line k
[#permalink]
Show Tags
23 Jul 2008, 06:43
Question Stats:
59% (00:56) correct 41% (01:13) wrong based on 338 sessions
HideShow timer Statistics
In the rectangular coordinate system shown does the line k intersect quadrant II? (1) The slope of k is 1/6 (2) The yintercept of k is 6
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 51073

Re: DS line k intersect quadrant II?
[#permalink]
Show Tags
15 Oct 2010, 02:02
gmatcraze wrote: Q. In the rectangular coordinate system shown does the line k intersect quadrant II?
1. The slope of k is 1/6 2. The yintercept of k is 6 1. If the slope of line is negative, line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positives, line intersects the quadrant I too, if negative quadrant III. 2. If the slope of line is positive, line WILL intersect quadrants I and III. Y and X intersects of the line with positive slope have opposite signs. Therefor if X intersect is negative, line intersects the quadrant II too, if positive quadrant IV. 3. Every line (but the one crosses origin or parallel to X or Y axis) crosses three quadrants. Only the line which crosses origin (0,0) OR is parallel of either of axis crosses two quadrants. 4. The line with slope 0 is parallel to Xaxis and crosses quadrant I and II, if the Y intersect is positive OR quadrants III and IV, if the Y intersect is negative. If you draw the couple of lines with different slopes you'll understand this better. BACK TO THE ORIGINAL QUESTION:Statement (1) says that slope is negative (case 1) so the line will intersect the quadrants II and IV (line goes from up to down). Sufficient. Statement (2) provides us with yintercept 6, now if line has positive slope then the line goes from down to up and thus won't intersect quadrant II but if the slope is negative then the line goes from up to down thus it will intersect quadrant II. Two different answers. Not sufficient. Answer: A. For more on this topic check Coordinate Geometry chapter of Math Book (link in my signature). Hope 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




Senior Manager
Joined: 06 Apr 2008
Posts: 382

Re: DS line k intersect quadrant II?
[#permalink]
Show Tags
23 Jul 2008, 06:49
gmatcraze wrote: Q. In the rectangular coordinate system shown does the line k intersect quadrant II?
1. The slope of k is 1/6 2. The yintercept of k is 6 Answer is C) For line equation you need to know slope and y or x intercept.



Intern
Joined: 19 Jul 2008
Posts: 23

Re: DS line k intersect quadrant II?
[#permalink]
Show Tags
24 Jul 2008, 05:26
nmohindru wrote: gmatcraze wrote: Q. In the rectangular coordinate system shown does the line k intersect quadrant II?
1. The slope of k is 1/6 2. The yintercept of k is 6 Answer is C) For line equation you need to know slope and y or x intercept. but here we don't need to find the line equation, we only need to determine if the line k intersects quadrant II .... how can we determine that? From (1), we know that the line has a negative slope and therefore intersects either quadrant II or quadrant IV. Hence not SUFF. From (2), we know that the point is (0,6). And this lies in quadrant IV. Hence B. Just wondering if my reasoning is correct?



SVP
Joined: 30 Apr 2008
Posts: 1828
Location: Oklahoma City
Schools: Hard Knocks

Re: DS line k intersect quadrant II?
[#permalink]
Show Tags
24 Jul 2008, 05:43
See what I wrote below. Its bold and in red. gmatcraze wrote: nmohindru wrote: gmatcraze wrote: Q. In the rectangular coordinate system shown does the line k intersect quadrant II?
1. The slope of k is 1/6 2. The yintercept of k is 6 Answer is C) For line equation you need to know slope and y or x intercept. but here we don't need to find the line equation, we only need to determine if the line k intersects quadrant II .... how can we determine that? From (1), we know that the line has a negative slope and therefore intersects either quadrant II or quadrant IV[we don't know this because we don't know the yintersect. It could potentially go through all quandrants, but not at the same time of course. Max 3 quandrants at the same time]. Hence not SUFF. From (2), we know that the point is (0,6). And this lies in quadrant IV [something that is actually on the xaxis or yaxis is not IN any quandrant...it is on the axis. Furthermore, with the yintercept at 6, we still don't know which direction the line goes. We only know where it begins. The line could be a y=6 and the line be parallel to the xaxis, or the line could have slope of 1 and it does go through Quadrant II . Hence B. Just wondering if my reasoning is correct?
_________________
 J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.
GMAT Club Premium Membership  big benefits and savings



VP
Joined: 17 Jun 2008
Posts: 1418

Re: DS line k intersect quadrant II?
[#permalink]
Show Tags
24 Jul 2008, 06:04
nmohindru wrote: gmatcraze wrote: Q. In the rectangular coordinate system shown does the line k intersect quadrant II?
1. The slope of k is 1/6 2. The yintercept of k is 6
Answer is C)
For line equation you need to know slope and y or x intercept.
but here we don't need to find the line equation, we only need to determine if the line k intersects quadrant II .... how can we determine that? From (1), we know that the line has a negative slope and therefore intersects either quadrant II or quadrant IV. Hence not SUFF. A line with negative slope will intersect either quadrant I or III. From (2), we know that the point is (0,6). And this lies in quadrant IV. Hence B.
Just wondering if my reasoning is correct?



VP
Joined: 17 Jun 2008
Posts: 1418

Re: DS line k intersect quadrant II?
[#permalink]
Show Tags
24 Jul 2008, 06:05
Hence, the answer should be D.
Stmt 1 implies that the line will either intersect quadrant I or III. Stmt2 implies that the line will intersect quandrant III.



Intern
Joined: 29 Nov 2008
Posts: 2

Re: DS line k intersect quadrant II?
[#permalink]
Show Tags
02 Dec 2008, 20:52
question : does the line k intersect quadrant II ? answer from gmatcraze : From (1), we know that the line has a negative slope and therefore intersects either quadrant II or quadrant IV. The best answer choice is A ( according to GMAt prep)



Intern
Joined: 30 Sep 2009
Posts: 17

Re: DS line k intersect quadrant II?
[#permalink]
Show Tags
04 Oct 2010, 02:30
citing Bunuel from this website.
SLOPE AND QUADRANTS: 1. If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III. 2. If the slope of line is positive, line WILL intersect quadrants I and III. Y and X intersects of the line with positive slope have opposite signs. Therefore if X intersect is negative, line intersects the quadrant II too, if positive quadrant IV.
Answer is A



Manager
Joined: 07 Aug 2010
Posts: 63

Re: DS line k intersect quadrant II?
[#permalink]
Show Tags
14 Oct 2010, 18:25
A 1) a line with negative slope will intersect 2 and 4  SUFF 2) given point is (0,6)  the line may be going from 3 to 4 to 1 or 4 to 3 to 2. NOT SUFF
_________________
Click that thing  Give kudos if u like this



Manager
Joined: 20 Dec 2010
Posts: 170
Location: India
Concentration: Strategy, General Management
WE: Information Technology (Computer Software)

In the rectangular coordinate system does the line k
[#permalink]
Show Tags
20 Mar 2011, 03:07
In the rectangular coordinate system does the line k intersect quadrant II? 1) slope of line k is 1/6 2) the yintercept of line k is 6 OA is provided. I am not sure how the slope alone can help solve this. Please help solve this.



Manager
Joined: 03 Mar 2011
Posts: 87
Location: United States
GPA: 3.9

Re: rectangular coordinate system
[#permalink]
Show Tags
20 Mar 2011, 03:16
As you know the equation of a line is y=kx+b II quadrant means that for x<0 y>0 (1) says that the line is y=1/6x+b. Whatever b you have (positive or negative), this is some finite number. Taking x as low as you can (going to infinity), you always could get 1/6*x as much positive as you need such that the sum 1/6x+b is positive. In other words, solving 1/6*x+b=0 you get the for any x<6b y is positive, obviously for some negative values of x this will also hold. (2) says that y(0)=6 which means that b=6. Is the slope is positive, then such line will never intersect II quadrant. For example y=6+x will never intersect it. So (1) is sufficient, (2) is not. The answer is (A)
_________________
If my post is useful for you not be ashamed to KUDO me! Let kudo each other!



Retired Moderator
Joined: 16 Nov 2010
Posts: 1426
Location: United States (IN)
Concentration: Strategy, Technology

Re: rectangular coordinate system
[#permalink]
Show Tags
20 Mar 2011, 04:30
The answer is A, I think you can visualize this without any calculation. Also, please check MATH book, and Bunuel's tutorials where it's explained what type of lines with what signs pass from which quadrants.
_________________
Formula of Life > Achievement/Potential = k * Happiness (where k is a constant)
GMAT Club Premium Membership  big benefits and savings



Manager
Joined: 05 Jan 2011
Posts: 125

Re: rectangular coordinate system
[#permalink]
Show Tags
20 Mar 2011, 06:13
It's A. 1. A line with a negative slope always passes through second and fourth quadrant. Thus sufficient Likewise A line with positive slope always passes through First and Third Quadrant.
2. this is insufficient, If the slope of the line is negative, then the line will touch the second quadrant to the left of the y axis & If the slope of the line is positive, or zero (parallel to the x axis), the the line will never touch the second quad.



Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 742

Re: rectangular coordinate system
[#permalink]
Show Tags
20 Mar 2011, 07:49
@subhashghosh pls can u send the link to bunuel's post
Posted from my mobile device



Retired Moderator
Joined: 16 Nov 2010
Posts: 1426
Location: United States (IN)
Concentration: Strategy, Technology

Re: rectangular coordinate system
[#permalink]
Show Tags
20 Mar 2011, 21:34
@gmat1220, here you go : mathcoordinategeometry87652.html
_________________
Formula of Life > Achievement/Potential = k * Happiness (where k is a constant)
GMAT Club Premium Membership  big benefits and savings



Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 742

Re: rectangular coordinate system
[#permalink]
Show Tags
20 Mar 2011, 22:18
@subhashghosh thanks so much!
Posted from my mobile device



NonHuman User
Joined: 09 Sep 2013
Posts: 9101

Re: In the rectangular coordinate system shown does the line k
[#permalink]
Show Tags
04 Jul 2018, 00:57
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: In the rectangular coordinate system shown does the line k &nbs
[#permalink]
04 Jul 2018, 00:57






