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Does in the line y=mx+c intersect x axis? a) m<0 b)c>0

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Senior Manager
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Does in the line y=mx+c intersect x axis? a) m<0 b)c>0 [#permalink] New post 03 Feb 2011, 12:16
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A
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E

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14) Does in the line y=mx+c intersect x axis?
a) m<0
b)c>0
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Re: Line interest X-axis [#permalink] New post 03 Feb 2011, 19:43
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Statement 1 Alone:
It is given that the slope of the line is negative. Thus, at one point or other, it will intersect the x-axis.

The point at which it will intersect the x-axis is:

mx + c = 0 or x = -c/m

SUFFICIENT

Statement 2 Alone:
It is given that the y intercept is greater than 0. This means that the line intersects the y axis at a point y>0.
It is not necessary for the line to intersect the x-axis because the line can be parallel to the x-axis while having a positive y intercept

Ans: 'A'
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Re: Line interest X-axis   [#permalink] 03 Feb 2011, 19:43
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Does in the line y=mx+c intersect x axis? a) m<0 b)c>0

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