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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
Joined: 10 Nov 2010
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Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
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WE: Information Technology (Computer Software)
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Kudos [?]: 142 [0], given: 22

Does in the line y=mx+c intersect x axis? a) m<0 b)c>0 [#permalink]  03 Feb 2011, 12:16
00:00

Difficulty:

(N/A)

Question Stats:

25% (01:37) correct 75% (00:13) wrong based on 5 sessions
14) Does in the line y=mx+c intersect x axis?
a) m<0
b)c>0
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Director
Status: -=Given to Fly=-
Joined: 04 Jan 2011
Posts: 835
Location: India
Schools: Haas '18, Kelley '18
GMAT 1: 650 Q44 V37
GMAT 2: 710 Q48 V40
GMAT 3: 750 Q51 V40
GPA: 3.5
WE: Education (Education)
Followers: 41

Kudos [?]: 159 [1] , given: 78

Re: Line interest X-axis [#permalink]  03 Feb 2011, 19:43
1
KUDOS
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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