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:

Re: do any points on line k lie in quadrant III? [#permalink]

Show Tags

31 Oct 2009, 04:25

1

This post received KUDOS

Okay, this is about 'imagination' You are told in stmt 2 that the slope is positive. 1. draw a line with positive slope passing thru origin ( does it go thru Q3 ? - yes ) 2. draw a line with positive slope passing thru ( 7, 0) ( does it go thru Q3 ? - yes ) 3. imagine a line with positive slope passing thru ( 1000, 0 ) ( does it go thru Q3 ? - yes ) ..it cant be plotted on paper but yes for some -ve y-intercept is surely will go thru Q3.

Re: do any points on line k lie in quadrant III? [#permalink]

Show Tags

31 Oct 2009, 08:47

1

This post received KUDOS

Here is a way I use to imagine the slopes (i think it'll help an outdoor person who's math sucks as bad as mine!)

Positive slope... it is an incline, I can climb. Negative slope... no way I can climb this slope (unless I have the Cliffhanger training) 0 - ah okay, plain straight line, just walk infinite - up against a wall

So in this particular context, positive slope wherever it is drawn, will pass through IIIrd quadrant... well I had a tough time remembering quadrants.

Hey guys..I got this question wrong b'cos I did'nt know HOW to plot the line when ONLY the slope is given.. Can somebody help me with that please?!

tejal777, below are my notes and tips about the slope of a line and the quadrants of intersect of a line depending on a slope. Hope you find them useful:

The slope is defined as “rise over run,” or the distance the line runs vertically divided by the distance the line runs horizontally. The slope of any given line is constant over the length of that line. Given any two points on the line, take the difference between the y (or vertical) coordinates and divide that by the difference between the x (or horizontal) coordinates.

Equation of a line y=mx+b: slope m, b Y intersect. OR Equation of a line ay+bx+c=0: slope -b/a, -c/a Y intersect.

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 positive, 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. Therefore 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 OR X and Y axis themselves) crosses three quadrants. Only the line which crosses origin (0,0) OR is parallel of either of axis crosses two quadrants.

4. If a line is horizontal the line has 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. Equation of such line is y=b, where b is y intersect.

5. If a line is vertical, the slope is not defined, line is parallel to Y-axis and crosses quadrant I and IV, if the X intersect is positive and quadrant II and III, if the X intersect is negative. Equation of such line is x=a, where a is x-intercept.

6. For the line crosses the two points (x1,y1) and (x2,y2), slope m=(y1-y2)/(x1-x2)

7. If the slope is 1 the angle formed by the line by X and Y axis is 45 degrees.

8. If the slope of a line is m, the slope of a line perpendicular to it is its negative reciprocal, -1/m. Hence two lines are perpendicular if and only the product of their slopes is -1.

9. Parallel lines have same slope.

10. Given a point and slope, equation of the line can be found. The equation of a straight line that passes through a point (x1, y1) with a slope m is: y - y1 = m(x - x1)
_________________

In the xy-coordinate system, do any points on line k lie in quadrant III?

(1) Line k has y-intercept 2

(2) Line k has slope 2/3

please explain the answer

For the line to be in the III quadrant the slope of the line y = mx+c that is m should be positive.

Statement A: Tells us that y-intercept is 2. Y-intercept means point where x is zero. Hence when x=0, y=2 in the line y=mx+c =>c = 2. This statement does not give us the value of m (slope of the line). Hence insufficient.

Statement B: Line K has slope 2/3. Given m = 2/3 which is +ve and hence some point of the line k should lie in the III quadrant.

Sufficient. Hence B is the answer.
_________________

Support GMAT Club by putting a GMAT Club badge on your blog

so in III and I quadrant slope will be positive and in II and IV quadrant slope will be negative ?

Yes, but the wording should be spot on since there are minor twists to the rule.

Rule:

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.

Re: In the xy-coordinate system, do any points on line k lie in [#permalink]

Show Tags

12 Nov 2013, 00:18

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 xy-coordinate system, do any points on line k lie in [#permalink]

Show Tags

04 Dec 2014, 02:49

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 xy-coordinate system, do any points on line k lie in [#permalink]

Show Tags

11 Feb 2016, 00:49

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.
_________________

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Since my last post, I’ve got the interview decisions for the other two business schools I applied to: Denied by Wharton and Invited to Interview with Stanford. It all...

Marketing is one of those functions, that if done successfully, requires a little bit of everything. In other words, it is highly cross-functional and requires a lot of different...