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

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Intern
Joined: 11 Oct 2006
Posts: 21
Location: Indianapolis
In the xy-plane, does the line w/ equation y=3x+2 contain [#permalink]

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04 Nov 2006, 19:53
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In the xy-plane, does the line w/ 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
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Joined: 10 Jan 2006
Posts: 89

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04 Nov 2006, 21:10
it should be c

How?

let assume (r,s) is on the line y=3x+2

so put the point s=3r+2

this is what we are looking at

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

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

from first we get what we are looking at s=3r+2 but there is another option s= 4r+9

not sufficient

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

similarly
s=4r-6
or
s=3r+2

not sufficient. we have two options here too

Combine both

one answer is common s=3r+2

So C

So it should be C
04 Nov 2006, 21:10
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# In the xy-plane, does the line w/ equation y=3x+2 contain

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