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# In the xy-plane, does the line with the equation y=3x +2

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Retired Moderator
Joined: 18 Jul 2008
Posts: 920
In the xy-plane, does the line with the equation y=3x +2 [#permalink]

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23 Nov 2008, 13:09
In the xy-plane, does the line with the equation y=3x +2 contain the point (r,s)?

1) (3r+2-s)(4r+9-s)=0

2) (4r-6-s)(3r+2-s)=0

I have no idea what this is asking.

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Manager
Joined: 23 Nov 2008
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23 Nov 2008, 13:44
3
KUDOS
1) either 3r+2-s=0 or, 4r+9-s=0 => insuff
2) either 4r-6-s=0 or, 3r+2-s=0 => insuff
Together:
If 3r+2-s <> 0, then the other two equations MUST be true.
This is not the case (4r-s cannot be 6 & -9 at the same time)
Hence, 3r+2-s =0
or, s=3r+2, which means the point lies on the line y=3x+2 =>suff

C
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23 Nov 2008, 19:24
agreed with C..

S=3r+2

so we we know the value of r and s..and we can determine if they exist on the line y=3x+2
Manager
Joined: 08 Aug 2008
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24 Nov 2008, 00:52
if a line $$y=mx+c$$ conatins the point $$(x1,y1)$$ then $$y1=mx1+c$$ must also be true.
So we have to find if the statements can lead us to $$s=3r+2$$
In the xy-plane, does the line with the equation y=3x +2 contain the point (r,s)?

1) (3r+2-s)(4r+9-s)=0

2) (4r-6-s)(3r+2-s)=0

I have no idea what this is asking.
Retired Moderator
Joined: 18 Jul 2008
Posts: 920

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24 Nov 2008, 07:46
Guys - I'm still confused. I can see that in statement 2)

3r+2-s is the same as

s=3r+2

But what makes the answer C?

prasun84 wrote:
if a line $$y=mx+c$$ conatins the point $$(x1,y1)$$ then $$y1=mx1+c$$ must also be true.
So we have to find if the statements can lead us to $$s=3r+2$$
In the xy-plane, does the line with the equation y=3x +2 contain the point (r,s)?

1) (3r+2-s)(4r+9-s)=0

2) (4r-6-s)(3r+2-s)=0

I have no idea what this is asking.
Manager
Joined: 08 Aug 2008
Posts: 228

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24 Nov 2008, 08:33
from both (1) and (2), s has 2 solutions each.
combined, we can conclude s=3r+2.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: GMATPrep: Plane   [#permalink] 24 Nov 2008, 08:33
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# In the xy-plane, does the line with the equation y=3x +2

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