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# How many points on line segment 2x+y=12, where

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Current Student
Joined: 11 May 2008
Posts: 553
How many points on line segment 2x+y=12, where [#permalink]

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25 Jul 2008, 02:03
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many points on line segment 2x+y=12, where -12<=x<=12 and -12<=y<=12, have integer coordinates?
A. 25
B. 18
C. 15
D. 13
E. 12
Director
Joined: 12 Jul 2008
Posts: 514
Schools: Wharton

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25 Jul 2008, 04:23
arjtryarjtry wrote:
How many points on line segment 2x+y=12, where -12<=x<=12 and -12<=y<=12, have integer coordinates?
A. 25
B. 18
C. 15
D. 13
E. 12

I get D.

2x + y = 12
y = 12 - 2x

For -12 <= y <= 12 to hold, 0 <= x <= 24 must be true.

Since our stimulus gives -12 <= x <= 12, then 0 <= x <= 12.
Number of integers between 0 and 12, inclusive is 12 - 0 + 1 = 13.
Current Student
Joined: 11 May 2008
Posts: 553

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25 Jul 2008, 16:46
hmmm , even i got that.
SVP
Joined: 07 Nov 2007
Posts: 1789
Location: New York

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25 Jul 2008, 21:11
arjtryarjtry wrote:
How many points on line segment 2x+y=12, where -12<=x<=12 and -12<=y<=12, have integer coordinates?
A. 25
B. 18
C. 15
D. 13
E. 12

how come its not D...

what is OA?
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Re: cartesian points   [#permalink] 25 Jul 2008, 21:11
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# How many points on line segment 2x+y=12, where

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