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# If line M passes through the coordinate system shown above, does line

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Joined: 02 Sep 2009
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If line M passes through the coordinate system shown above, does line  [#permalink]

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07 Sep 2018, 00:26
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:05) correct 32% (01:03) wrong based on 90 sessions

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If line M passes through the coordinate system shown above, does line M pass through Quadrant IV?

(1) Line M has a slope greater than 1/2.
(2) Line M has a slope greater than -1.

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Re: If line M passes through the coordinate system shown above, does line  [#permalink]

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07 Sep 2018, 04:59
Bunuel wrote:

If line M passes through the coordinate system shown above, does line M pass through Quadrant IV?

(1) Line M has a slope greater than 1/2.
(2) Line M has a slope greater than -1.

Question : does line M pass through Quadrant IV?

CONCEPT: A line with positive slope is bound to pass through Quadrants I and III and a Line with negative slope is bound to pass through Quadrants II and IV

Statement 1: Line M has a slope greater than 1/2

Positive slope ensures that line passes through Quadrants I and III but the same line may or may not pass through quadrant IV hence

NOT SUFFICIENT

Statement 2: Line M has a slope greater than -1

Slope greater than -1 may be positive as well as negative therefore, line may or may not pass through quadrant IV hence

NOT SUFFICIENT

Combining the two statements

line may or may not pass through quadrant IV hence

NOT SUFFICIENT

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Re: If line M passes through the coordinate system shown above, does line  [#permalink]

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19 Oct 2018, 10:29
Top Contributor
Bunuel wrote:

If line M passes through the coordinate system shown above, does line M pass through Quadrant IV?

(1) Line M has a slope greater than 1/2.
(2) Line M has a slope greater than -1.

Target question: Does line M pass through Quadrant IV?

Jump straight to....

Statements 1 and 2 COMBINED
There are several lines that satisfy BOTH statements. Here are two:

Case a: Line M has slope 2 and looks like this:

In this case, the answer to the target question is YES, line M DOES pass through Quadrant IV

Case b: Line M has slope 2 and looks like this:

In this case, the answer to the target question is NO, line M does NOT pass through Quadrant IV

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

Cheers,
Brent
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Re: If line M passes through the coordinate system shown above, does line   [#permalink] 19 Oct 2018, 10:29
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