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Quadrant

Expert replies
Source: — Data Sufficiency |

by DevB » Fri Jul 25, 2014 11:55 am
Please Help...
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by GMATGuruNY » Fri Jul 25, 2014 12:14 pm
Statement 1:
A line with a negative slope MUST pass through quadrants II and IV.
Image
Since line k has a negative slope, it must pass through quadrant II.
SUFFICIENT.

Statement 2:
Image
The blue version of line K passes through quadrant II, while the red version does not.
INSUFFICIENT.

The correct answer is A.
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by Brent@GMATPrepNow » Fri Jul 25, 2014 1:23 pm
Here are two similar DS questions involving lines in the coordinate plane:
- https://www.beatthegmat.com/xy-plane-t272618.html
- https://www.beatthegmat.com/coordinate-g ... 77659.html

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Brent
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by GMATinsight » Sat Jul 26, 2014 12:48 pm
CONCEPT:

1) Every line with the Negative slope always passes through Quadrants II and IV

2) Every line with the Positive slope always passes through Quadrants I and III

3) Parallel Lines have EQUAL SLOPES [m1 = m2]

4) Perpendicular lines have product of their slopes as -1 [i.e. m1 x m2 = -1]


Keeping in mind the above concept
Statement 1) Negative slope therefore SUFFICIENT
Statement 2) Y-intercept alone has nothing to do with slope of the line therefore INSUFFICIENT

Answer: Option A
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