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 Your Progress

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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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 X-axis 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: In the rectangular coordinate system shown above, does the line k (not shown) intersect quadrant II?

(1) The slope of k is -1/6 (2) The y-intercept of k is -6

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 y-intercept -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).

Can someone detail this answer for me? Does any line with a negative slope pass through the second quadrant? Is it because you can put any value in for X, get the value for Y and the line could extend forever?

Yep you're absolutely right. In the gradient intercept formula y=mx+b - The sign of m tells you if its going through 2nd/4th (negative slope) or 1st/3rd (positive slope). The exception to this is if m=0 this will be a horizontal line at b, or if y=0 this will be a vertical line at -b/m.

For the above question this info is sufficient to answer A.

The other info that isn't relevant to this question is. - The value of m (as opposed to the sign) essentially dictates the "steepness" of the line. - The value of B is the Y intercept.

Can someone detail this answer for me? Does any line with a negative slope pass through the second quadrant? Is it because you can put any value in for X, get the value for Y and the line could extend forever?

Yep you're absolutely right. In the gradient intercept formula y=mx+b - The sign of m tells you if its going through 2nd/4th (negative slope) or 1st/3rd (positive slope). The exception to this is if m=0 this will be a horizontal line at b, or if y=0 this will be a vertical line at -b/m.

For the above question this info is sufficient to answer A.

The other info that isn't relevant to this question is. - The value of m (as opposed to the sign) essentially dictates the "steepness" of the line. - The value of B is the Y intercept.

Yes, the question can be answered in about 5 seconds simply by using your logic above:

a. any negative sloping line will cross quadrant 2 at some point because the lines are infinite b. we know nothing about the slope. the slope can be positive or negative. we only know where it crosses

in other words, all you have to do is visualize positive and negative slope

S1: Gives the slope to be -ve and hence it would be as shown in the diagram attached.

S2: Not necessary. without the slope...it is not possible to determine the direction and hence the intersection with the Quandrant.

Attachments

Prep1.png [ 45.79 KiB | Viewed 33297 times ]

_________________

Cheers! JT........... If u like my post..... payback in Kudos!!

|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

Answer to this question is A indeed, as jeeteshsingh explained. The line with negative slope WILL ALWAYS intersect quadrant II and IV. You can also check the Coordinate Geometry chapter of Math Book (link below) for more about this issue.

Statement 1: If the slope is negative then the line will pass through the IInd and IVth quadrant always. Sufficient. Statement 2: Only the y intercept is given, without knowing whether the slope is +ve or -ve, we cannot say whether the line will pass through the II nd quadrant. Insufficient.

(1) Slope is -1/6. So line is y = -x/6 + c. Let x=-6+6c-6|c|. Notice this value of x is negative for all choices of c. If c<0, then x becomes -6+12c, if c=0, then x becomes -6, if c>0, then x becomes -6. At this point, the value of y is 1+|c| which is always positive. Showing that the line will always pass thru the 2nd quadrant (As pointed out earlier this is true for all lines with negative slope) So (1) is sufficient

(2) Y-Int is -6 Consider the line x=-6 (does not pass thru quadrant II) But we know if the line had negative slope it wud pass thru second qudrant, Eg. y=-x-6 Not sufficient

A alone is enough Hence, y-int is not enough to say anything _________________

Are you sure that the answer is A? The question is confusing in that is the line k an infinite line or a finite line (that is does it have finite ends)?

1. A line with m=-1/6 can lie in I, II and III without intersecting II. It may lie in II as well. Insuff. If unbounded line, this is sufficient. 2. c=-6. Insuff. Clearly a line with positive slope or negative slope could lie in I quadrant. It may intersect II quadrant.

Together, you get an equation y=-x/3 - 6. X and Y intercepts are y=-6, x=-36. This line definitely passes through III quadrant. But, does it have to pass through II.

Depending on if its a bounded or unbounded line, answer could be A or C. _________________

I am the master of my fate. I am the captain of my soul. Please consider giving +1 Kudos if deserved!

DS - If negative answer only, still sufficient. No need to find exact solution. PS - Always look at the answers first CR - Read the question stem first, hunt for conclusion SC - Meaning first, Grammar second RC - Mentally connect paragraphs as you proceed. Short = 2min, Long = 3-4 min

We are asked if the line passes through the top left quadrant.

1)Slope is negative. A line with a negative slope will definitely pass through the 2nd and 4th quadrants. You can think about it graphically. Unless the line is perfectly vertical, perfectly horizontal or slanting upwards to the right, it will definitely pass through the 2nd and 4th quadrants. Sufficient.

2)As shown below, the line could be one like the green or one like the red. We cant deduce anything from this. Insufficient.

Answer is A

Attachments

Untitled.png [ 5.78 KiB | Viewed 30558 times ]

_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Re: In the rectangular coordinate system shown above, does the [#permalink]

Show Tags

08 Feb 2013, 06:31

HI One basic doubt to Statement 2 of the question..... When it is given that Y intercept is -6 , than is it necessary that line must be passing through the point 0,-6 or it can be inferred that its line segment which when extended will pass through 0,-6

In such DS question what should we infer from statement 2 ....Is it a line which for sure is intersecting at point 0,-6 or is just a line segment... Little bit confused......

Re: In the rectangular coordinate system shown above, does the [#permalink]

Show Tags

09 Feb 2013, 02:45

Expert's post

Archit143 wrote:

HI One basic doubt to Statement 2 of the question..... When it is given that Y intercept is -6 , than is it necessary that line must be passing through the point 0,-6 or it can be inferred that its line segment which when extended will pass through 0,-6

In such DS question what should we infer from statement 2 ....Is it a line which for sure is intersecting at point 0,-6 or is just a line segment... Little bit confused......

regards Archit

Strange question... The stem talks about line k and the second statement says that the y-intercept of line k is -6. So, yes, line k passes through point (0, -6). _________________

Official Answer is B (only statement 2 alone is sufficient), but I think the correct answer should be A (only statement 1 alone is sufficient). What do you think?

Official Answer is B (only statement 2 alone is sufficient), but I think the correct answer should be A (only statement 1 alone is sufficient). What do you think?

Merging similar topics.

BTW, the correct answer is A, not B. _________________

Re: In the rectangular coordinate system shown above, does the [#permalink]

Show Tags

19 Aug 2014, 01:29

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. _________________

Re: In the rectangular coordinate system shown above, does the [#permalink]

Show Tags

27 Sep 2015, 09:42

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. _________________

Excellent posts dLo saw your blog too..!! Man .. you have got some writing skills. And Just to make an argument = You had such an amazing resume ; i am glad...

So Much $$$ Business school costs a lot. This is obvious, whether you are a full-ride scholarship student or are paying fully out-of-pocket. Aside from the (constantly rising)...

I barely remember taking decent rest in the last 60 hours. It’s been relentless with submissions, birthday celebration, exams, vacating the flat, meeting people before leaving and of...

Rishabh from Gyan one services, India had a one to one interview with me where I shared my experience at IMD till now. http://www.gyanone.com/blog/life-at-imd-interview-with-imd-mba/ ...