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coordinate geometry

by gmatnmein2010 » Mon Feb 08, 2010 5:37 am
In the xy plane, Line k has a positive slope and x-intercept 4. If the area of the triangle formed by line k and the two axes is 12, What is the y-intercept of line K ?
(A) 3
(B) 6
(C) -3
(D) -6
(E) -4
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by harsh.champ » Mon Feb 08, 2010 5:55 am
gmatnmein2010 wrote:In the xy plane, Line k has a positive slope and x-intercept 4. If the area of the triangle formed by line k and the two axes is 12, What is the y-intercept of line K ?
(A) 3
(B) 6
(C) -3
(D) -6
(E) -4
y=mx + c
c=4 ,m=+ve

1/2 x 4 x -y =12

Hence,D = -6
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by shashank.ism » Mon Feb 08, 2010 5:57 am
gmatnmein2010 wrote:In the xy plane, Line k has a positive slope and x-intercept 4. If the area of the triangle formed by line k and the two axes is 12, What is the y-intercept of line K ?
(A) 3
(B) 6
(C) -3
(D) -6
(E) -4
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so u can see [spoiler]ans = -6 ie D[/spoiler]
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by thephoenix » Mon Feb 08, 2010 6:46 am
Negative slope, positive (4) x-intercept --> negative y-intercept. --> 1/2*4*|y|=12 --> |y|=6. --> y=-6

[spoiler]Answer: D[/spoiler]
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