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If m represents the slope of a line in the coordinate geomet

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by Anaira Mitch » Wed Nov 21, 2018 6:39 am

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If m represents the slope of a line in the coordinate geometry plane, does the line intersect quadrant III?

1. |m|=m
2. m^2=3m
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Source: — Data Sufficiency |

by Brent@GMATPrepNow » Wed Nov 21, 2018 7:09 am
Anaira Mitch wrote:If m represents the slope of a line in the coordinate geometry plane, does the line intersect quadrant III?

1. |m| = m
2. m² = 3m

Target question: Does the line intersect quadrant III?
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Statements 1 and 2 combined
Here are two scenarios that satisfy BOTH statements:
Case a: m = 3
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In this case, the answer to the target question is YES, the line DOES intersect quadrant III

Case b: m = 0.
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In this case, the answer to the target question is NO, the line does NOT intersect quadrant III

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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