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# GMATPrep: intersecting line

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Intern
Joined: 07 May 2006
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GMATPrep: intersecting line [#permalink]  17 Jun 2006, 12:45
Could someone please explain how do we get the right answer (OA later)

Thanks
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VP
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Re: GMATPrep: intersecting line [#permalink]  17 Jun 2006, 13:43
A.

from 1 the slopes of both lines are +ve.
from 2 the slopes of bother lines could be +ve or -ve.
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Re: GMATPrep: intersecting line [#permalink]  17 Jun 2006, 13:51
MA wrote:
A.

from 1 the slopes of both lines are +ve.
from 2 the slopes of bother lines could be +ve or -ve.

I did it a different way and got a different answer. MA can you take a look and let me know. greatly appreciated. thanks.

I got C

C1. product of the two x-intercepts is positive

two cases:

line k = b/m = +ve
line l = b/m = +ve

line k = b/m = -ve
line l = b/m = -ve

so m can be either +ve for both m or -ve or one and +ve for the other

INSUFFICIENT

C2. product of the y-intercept is -ve

2 cases

line k -> b = +ve,
line l -> b = -ve

line k -> b = -ve
line l-> b = +ve

tells you nothing about the respective slopers

combined:

if line k's b/m = +ve and b = +ve then m = -ve
then line l ->b/m = +ve and b = -ve then m = +ve

product is negative

if line k's b/m = -ve and b = -ve then m = +ve
then line l -> b/m = +ve and b = +ve then m= -ve

product is -ve.
VP
Joined: 25 Nov 2004
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Re: GMATPrep: intersecting line [#permalink]  17 Jun 2006, 15:43
mrmikec wrote:
MA wrote:
A.

from 1 the slopes of both lines are +ve.
from 2 the slopes of bother lines could be +ve or -ve.

I did it a different way and got a different answer. MA can you take a look and let me know. greatly appreciated. thanks.

I got C

C1. product of the two x-intercepts is positive

two cases:

line k = b/m = +ve
line l = b/m = +ve

line k = b/m = -ve
line l = b/m = -ve

so m can be either +ve for both m or -ve or one and +ve for the other

INSUFFICIENT

C2. product of the y-intercept is -ve

2 cases

line k -> b = +ve,
line l -> b = -ve

line k -> b = -ve
line l-> b = +ve

tells you nothing about the respective slopers

combined:

if line k's b/m = +ve and b = +ve then m = -ve
then line l ->b/m = +ve and b = -ve then m = +ve

product is negative

if line k's b/m = -ve and b = -ve then m = +ve
then line l -> b/m = +ve and b = +ve then m= -ve

product is -ve.

yah now i see my mistake. i didnot realize the downward lines. you are correct...
Re: GMATPrep: intersecting line   [#permalink] 17 Jun 2006, 15:43
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