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

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by BTGmoderatorDC » Sun Jun 09, 2019 9:27 pm

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Answers

A

B

C

D

E

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Difficulty—

Image

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

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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Mon Jun 10, 2019 8:24 am
BTGmoderatorDC wrote:Image

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


Case b:
Image
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
Brent Hanneson - Creator of GMATPrepNow.com
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