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In the xy-plane shown, is the slope of the line L negative ?

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In the xy-plane shown, is the slope of the line L negative ?

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In the xy-plane shown, is the slope of the line L negative ?


(1) Line L passes through a point that is in quadrant 3

(2) Line L passes through a point that is in quadrant 4

OA E

Source: GMAT Prep

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BTGmoderatorDC wrote:


In the xy-plane shown, is the slope of the line L negative ?


(1) Line L passes through a point that is in quadrant III
(2) Line L passes through a point that is in quadrant IV
Target question: Is the slope of the line L negative ?
After scanning the two statement, I see that we can jump straight to . . .

Statements 1 and 2 combined
The COMBINED statements tell us that line l passes through quadrants III and IV.
There are several lines that satisfy BOTH statements. Here are two:

Case a:

In this case, the answer to the target question is NO, the slope of line l is NOT negative


Case b:

In this case, the answer to the target question is YES, the slope of line l IS negative

Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent

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