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line k and the two axes

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line k and the two axes

by sanju09 » Sat Aug 14, 2010 2:52 am
In the x-y 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) 6
(B) 3
(C) -3
(D) -4
(E) -6


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by clock60 » Sat Aug 14, 2010 3:01 am
got A-6 here,
S(triangle)=1/2*base(4)*height (y intercept)=12
y=6
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by Prashantbhardwaj » Sat Aug 14, 2010 11:42 am
Since it is given the line k has a positive slope therefore the line will go downwards towards left from the given X-intercept(4,0). A shown in the diagram.
Therefore the answer will be Y intercept (0,-6) or simply -6 that is E.
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by clock60 » Sat Aug 14, 2010 3:41 pm
yes you are right, silly mistake
thank you for pointing out
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