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# Is the slope of a line passes through point (a,5) greater

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Manager
Joined: 04 Sep 2006
Posts: 113
Is the slope of a line passes through point (a,5) greater [#permalink]

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31 May 2009, 11:06
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Is the slope of a line passes through point (a,5) greater than 0?
1). Line passes point (0,2)
2). Line passes point (5,a)

pls explain
Intern
Joined: 17 May 2009
Posts: 10
Location: USA
Schools: Kellogs, Wharton, Chicago

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31 May 2009, 12:04
IMO C.

Line passes through (a,5)

1. Line passes through (0,2) ==> slope = 3/a ==> insufficient since we don't know if a >0 or <0

2. Line passes through (5,a) ==> slope = (5-a)/(a-5) negative for all values of a but for a = 5 slope cannot be determined since both are same points ==> insufficient.

Both 1 and 2 ==> slope = (a-2)/5 at a =2 slope = 0 but from given that line also passes through (a,5) and (0,2) slope = 3/a = 1.5

Therefore a =5 for line to pass through 3 points (a,5), (0,2) and (5,a) and in that case slope =3/5 > 0
Senior Manager
Joined: 16 Jan 2009
Posts: 350
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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31 May 2009, 14:41
IMO E.

1. Line passes through (0,2) ==> slope = 3/a ==> insufficient since we don't know if a >0 or <0

2. Line passes through (5,a) ==> slope = (5-a)/(a-5) negative for all values of a but for a = 5 slope cannot be determined since both are same points ==> insufficient.

Both 1 and 2 ==>

slope = (a-2)/5
line also passes through (a,5) and (0,2) slope = 3/a

Both above possibilities depend on the value of a , which may vary -ve / 0 / +ve.

Hello traveller10,

vcbabu wrote:
Both 1 and 2 ==> slope = (a-2)/5 at a =2 slope = 0 but from given that line also passes through (a,5) and (0,2) slope = 3/a = 1.5

_________________

Lahoosaher

Re: slope   [#permalink] 31 May 2009, 14:41
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