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In the coordinate plane (pictured above), Line J has a slope of m . Do

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Bunuel
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In the coordinate plane (pictured above), Line J has a slope of m . Do [#permalink] New post   26 May 2018, 07:46
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In the coordinate plane (pictured above), Line J has a slope of m. Does Line J pass through Quadrant III?

(1) 1 < m < 3
(2) Line J passes through point (0,6)

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Re: In the coordinate plane (pictured above), Line J has a slope of m . Do [#permalink] New post   26 May 2018, 09:28
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I would go with option A and here is why.
St1 tells us that slope is between 1 and 3, we don't need exact value, we just conclude that slope is positive, which means that slope is "rising" from left to right and no matter how, the line will cross quadrant 3.
St 2 tells us that line passes thru 0,6, but line can be dropping from quadrant 2 to 3, in this case answer is no. Likewise, line can rise from quadrant 3 to 2, in this case answer is Yes. Since we get two or more answers, this statement alone is not sufficient leaving us with answer choice A.
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Re: In the coordinate plane (pictured above), Line J has a slope of m . Do [#permalink] New post   26 May 2018, 08:52
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Bunuel wrote:

In the coordinate plane (pictured above), Line J has a slope of m. Does Line J pass through Quadrant III?

(1) 1 < m < 3
(2) Line J passes through point (0,6)

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Attachment:
quadrants.png


Slope of X axis =0 & slope of y axis=ND . Thus any line which do not have slope equal to 0 or ND must pass through 3 quadrants.

(1) 1 < m < 3 ==> +ve slope ---> always pass through QI & QIII........Thus Sufficient

(2) Line J passes through point (0,6) ---- this line could be ll to x axis , y axis itself a line with +ve slope , or a line with -ve slope ........Thus Insufficient

Hence , I would go with option A.
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Re: In the coordinate plane (pictured above), Line J has a slope of m . Do [#permalink] New post   26 May 2018, 12:19
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Any line with a positive slope will pass through quadrant 3.

St.1 is sufficient as slope is positive.

St.2 is Insufficient as we cannot determine slope with one coordinate.

Ans A

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Re: In the coordinate plane (pictured above), Line J has a slope of m . Do [#permalink] New post   26 May 2018, 19:24
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a) The slope of the line is sufficient to predict its inclination ( a positive slope implies it passes through Q1 & Q3.
hence A is sufficient
b) line passes through a point , no definite conclusion can be drawn about the line inclination
B not sufficient

Answer : A
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Re: In the coordinate plane (pictured above), Line J has a slope of m . Do [#permalink]
26 May 2018, 19:24
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