SOLUTION: Write the equation in standard form for the ellipse 9x2+y2–27=0.

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Question 969407: Write the equation in standard form for the ellipse 9x2+y2–27=0.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
start with 9x^2 + y^2 - 27 = 0
add 27 to both sides of the equation to get:
9x^2 + y^2 = 27
divide both sides of the equation by 27 to get:
9x^2 / 27 + y^2 / 27 = 1
simplify to get x^2/3 + y^2 / 27 = 1
that's in the standard form of the equation of a vertically oriented ellipse, which is (x-h)^2 / b^2 + (y-k)^2 / a^2 = 1
(h,k) is the vertex.
the graph of the equation is shown below:
graph%28600%2C600%2C-15%2C15%2C-15%2C15%2Csqrt%2827-9x%5E2%29%2C-sqrt%2827-9x%5E2%29%29
here's a reference that explains it all.
http://www.purplemath.com/modules/ellipse.htm