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In the rectular coordinate system shown above, does the line

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In the rectular coordinate system shown above, does the line [#permalink]

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New post 23 Apr 2011, 15:30
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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
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Re: In the rectular coordinate system shown above, does the line [#permalink]

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New post 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.

Answer A.

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

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New post 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.

Answer - A
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Re: In the rectular coordinate system shown above, does the line [#permalink]

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New post 22 Sep 2017, 21:56
Could anyone explain this question in more details please...

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

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New post 23 Sep 2017, 04:29
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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:

Image

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).

Hope it helps.

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