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rectangular coordinate system

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by josh80 » Wed Dec 11, 2013 5:44 pm
In the rectangular coordinate system shown above, does line k (not shown) intersect quadrant II?

(quadrants placed as follows: II I
III IV)

1) the slope of k is -1/6

2) the y-intercept of k is -6
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Source: — Data Sufficiency |
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by Patrick_GMATFix » Wed Dec 11, 2013 10:48 pm
This is QID 1293 in the GMATFix Solutions Engine

Statement 1
Remember that lines extend infinitely, so a line with a negative slope will always enter quadrant II (because the line goes up and to the left forever). Such a line, by the way, will always enter quadrant IV (goes down and to the right forever).

(1) is Sufficient

Statement 2
the y-intercept doesn't tell us whether the line will enter quadrant II. A horizontal (flat) line would never reach the top half of the system (quadrants I & II) while a downward sloping line (negative slope) would always reach quadrant II.

(2) is Insufficient

The answer is A
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