GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jun 2018, 09:50

### GMAT Club Daily Prep

#### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the rectular coordinate system shown above, does the line

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 24 Mar 2011
Posts: 394
Location: Texas
In the rectular coordinate system shown above, does the line [#permalink]

### Show Tags

23 Apr 2011, 15:30
1
00:00

Difficulty:

45% (medium)

Question Stats:

45% (00:40) correct 55% (00:44) wrong based on 56 sessions

### HideShow timer Statistics

In the rectular coordinate system shown above, does the line K intersect quadrant II?

(1) the slope of K is -1/6.
(2) the y-intercept of k is -6.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/in-the-recta ... 90635.html
Manager
Joined: 14 Feb 2011
Posts: 180
Re: In the rectular coordinate system shown above, does the line [#permalink]

### Show Tags

23 Apr 2011, 16:30
agdimple333 wrote:
In the rectular coordinate system shown above, does the line K intersect quadrant II?
(1) the slope of K is -1/6.
(2) the y-intercept of k is -6.

Statement 1 tells us the slope of the line and it is a line with negative slope and hence will intersect quadrant II - Sufficient

Statement 2 just gives us the y-intercept and no information on slope and hence cant definitively say whether the line intersects quadrant II or not - insufficient.

Retired Moderator
Joined: 16 Nov 2010
Posts: 1472
Location: United States (IN)
Concentration: Strategy, Technology
Re: In the rectular coordinate system shown above, does the line [#permalink]

### Show Tags

24 Apr 2011, 21:59
(1) says the slope of the line is negative, so it will intersect Q II

Sufficient

(2) says the y intercept is -6, so the line can have either a negative slope or a positive slope. The line with a positive slope and negative y-intercept will not intersect the Q II, but the line with a negative slope and negative y-intercept will intersect the Q II.

(2) is Insufficient.

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Intern
Joined: 20 Sep 2016
Posts: 25
Re: In the rectular coordinate system shown above, does the line [#permalink]

### Show Tags

22 Sep 2017, 21:56
Could anyone explain this question in more details please...
Math Expert
Joined: 02 Sep 2009
Posts: 46128
Re: In the rectular coordinate system shown above, does the line [#permalink]

### Show Tags

23 Sep 2017, 04:29
2
1
jyotipes21@gmail.com wrote:
Could anyone explain this question in more details please...

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.

For more on this topic check Coordinate Geometry chapter of Math Book (link in my signature).

Hope it helps.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/in-the-recta ... 90635.html
_________________
Re: In the rectular coordinate system shown above, does the line   [#permalink] 23 Sep 2017, 04:29
Display posts from previous: Sort by

# In the rectular coordinate system shown above, does the line

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.