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find y-intercept

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by g.shankaran » Thu Jun 09, 2011 7:49 am
in the xy-plane, the line k has 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 the line k?
  • -6
    -4
    -3
    3
    6
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Source: — Problem Solving |

by cans » Thu Jun 09, 2011 7:54 am
y=mx+c
m>0
-c/m=4 -> c is less than 0 (y-intercept<0)
area = (1/2)(x-intercept)*(y-intercept) = 12
4*(y-intercept) = 24
y-intercept=6
but as it is less than 0, -6
IMO A
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Cans!!
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