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Re: Does line y = mx + c intersect X axis? [#permalink]

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03 Feb 2011, 20:43

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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: Does line y = mx + c intersect X axis? [#permalink]

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27 Sep 2013, 02:30

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The first statement (m<0) alone is sufficient to answer but not the second statement (c>0) alone.

The reason is that if m=0, then the line is parallel to Y-axis, hence won't intersect the X-axis. Since m<0, it is a line with decreasing slope, hence the line will intersect and cut the X-axis at a certain stage.

As for the statement 2 (c>0), it may or may not intersect the X-axis as the line may be parallel to X - axis and still have a positive c. Example : y = 5 is a straight line with c = 5 >0 and won't ever cut the X-axis.

Re: Does line y = mx + c intersect X axis? [#permalink]

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09 Oct 2014, 01:27

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Re: Does line y = mx + c intersect X axis? [#permalink]

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06 Apr 2016, 09:21

Hello from the GMAT Club BumpBot!

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