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# In the xy-plane, line k has positive slope and x-intercept

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VP
Joined: 30 Jun 2008
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In the xy-plane, line k has positive slope and x-intercept [#permalink]

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07 Oct 2008, 05:57
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In the xy-plane, line k has positive slope and x-intercept 4. If the area of the triangle formed by the line k and the two axes is 12, what is the y-intercept of the line k?

* -6
* -4
* -3
* 3
* 6
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Senior Manager
Joined: 04 Aug 2008
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07 Oct 2008, 06:28
A=a*b/2

A=12 a=4 thus b=6

since m is positive, the line is in 'erection' mode lol (this helps me memorize)

so it is hitting y at -6
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Manager
Joined: 09 Jul 2007
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07 Oct 2008, 06:32
IMO A ( -6 ).. explanation : same as spiridon's

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Manager
Joined: 21 May 2008
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07 Oct 2008, 06:47
Definitely the y-intercept is negative because of positive x-intercept and a positive gradient.

Ans is -6.

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VP
Joined: 30 Jun 2008
Posts: 1033

Kudos [?]: 704 [0], given: 1

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07 Oct 2008, 07:27
OA is A

Thanks spiridon for your small tip
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Re: PS: xy-plane GMATPrep   [#permalink] 07 Oct 2008, 07:27
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