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# in the xy-plane, line k has positive slope and x-intercept

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in the xy-plane, line k has positive slope and x-intercept [#permalink]  27 Sep 2006, 06:07
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in the xy-plane, 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 line k?

-6
-4
-3
3
6
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The answer seems to be 6.
Since the x-intercept is 4, hence the triangle formed by k,x-axis and y-axis has a base of 4.The triangle formed is a right angled triangle and area is 1/2 h X 4=12. This gives the height of triangle as 6. This height is nothing but the y-intercept.
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mukeshnathani wrote:
The answer seems to be 6.
Since the x-intercept is 4, hence the triangle formed by k,x-axis and y-axis has a base of 4.The triangle formed is a right angled triangle and area is 1/2 h X 4=12. This gives the height of triangle as 6. This height is nothing but the y-intercept.

Your math is correct, but I think you got the y intercept backwards. Should be -6 because the slope is positive.

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Yes , since it is a positive slope ,-6 has to be the y-intercept.
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