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jaya
science forum beginner
Joined: 19 Jun 2006
Posts: 1
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 Posted: Mon Jun 19, 2006 5:51 pm Post subject:
please explain the solution.
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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 the line k?
thanks
jaya. |
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Randy Poe
science forum Guru
Joined: 24 Mar 2005
Posts: 2485
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| Posted: Mon Jun 19, 2006 6:25 pm Post subject:
Re: please explain the solution.
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jaya wrote:
| Quote: | 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 the line k?
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Start with this:
Draw a picture of a line with positive slope and x-intercept
4 so you can see this triangle they are talking about.
- Randy |
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JEMebius
science forum Guru Wannabe
Joined: 24 Mar 2005
Posts: 209
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| Posted: Mon Jun 19, 2006 9:29 pm Post subject:
Re: please explain the solution-
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The triangle is half the rectangle formed by the X and Y axes and the
abscissa and ordinate of a certain point P which you can draw easily
yourself once you have drawn line k.
This rectangle has area 24 and a side 4. So the other side is 6. This is
the Y intercept. Please find out yourself at what side of the origin
this intercept is situated.
Happy studies: Johan E. Mebius
jaya wrote:
| Quote: | 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 the line k?
thanks
jaya.
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Barry Schwarz
science forum beginner
Joined: 30 Apr 2005
Posts: 31
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| Posted: Sun Jun 25, 2006 11:55 pm Post subject:
Re: please explain the solution.
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On 19 Jun 2006 10:51:25 -0700, "jaya" <jaya.aravind@gmail.com> wrote:
| Quote: | 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 the line k?
thanks
jaya.
|
The triangle is a right triangle. The perpendicular legs are the x
and y axes. The leg on the x axis has a length of four. What is the
length of the leg on the y axis? What two points on the y axis are
end points of such a leg? Which of these two points results in line k
having a positive slope?
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