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y-intercept in plane

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by sLikk » Sat Jan 17, 2009 11:57 am
In the xy-plane , line K has positive slope & x-intercept 4. If the area of the triangle formed by line K & the two axes is 12, what is the y-intercept of line K?

Answer Choices: -6, -4, -3, 3, 6

OA: -6
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by sonu_thekool » Sat Jan 17, 2009 12:08 pm
Positive slope means that a line extends upwards from left to right. Since the line has x-intercept of 4, it should have a negative y-intercept.

So, choices D and E are gone.

Next area of triangle (1/2)*4*h = 12

So, h = 6 but since y-intercept should be negative the height should be -6
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by sLikk » Sat Jan 17, 2009 12:33 pm
thanks a bunch.
I was just wondering if someone can post a link to some material for slopes so I could brush up on this topic.
Again thanks.
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by sonu_thekool » Sat Jan 17, 2009 12:47 pm
No problem Slikk

I do not have any specific document on slopes but Manhattan GMAT's Geometry strategy guide seems to have pretty decent info. I have some notes from it and will try to send over.

Sonu
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by sLikk » Sat Jan 17, 2009 1:11 pm
sonu_thekool wrote:No problem Slikk

I do not have any specific document on slopes but Manhattan GMAT's Geometry strategy guide seems to have pretty decent info. I have some notes from it and will try to send over.

Sonu
Thanks alot. Appreciate your help :)
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