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

Question 969407: Write the equation in standard form for the ellipse 9x2+y2�27=0.

Answer by Theo(13342) (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:

here's a reference that explains it all.
http://www.purplemath.com/modules/ellipse.htm

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