# SOLUTION: Find an equation of the ellipse centered at (0,0), with a vertex at (9,0) and asymptote y=1/4x

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 Algebra: Conic sections - ellipse, parabola, hyperbola Solvers Lessons Answers archive Quiz In Depth

 Question 553689: Find an equation of the ellipse centered at (0,0), with a vertex at (9,0) and asymptote y=1/4xAnswer by AnlytcPhil(1276)   (Show Source): You can put this solution on YOUR website!```Ellipses do not have asymptotes. Hyperbolas do. Did you mean "hyperbola" and typed "ellipse" instead? I will assume that's what you did. Since one asymptote is y = x, the othe one is y = x. We draw those, plot the vertices (9,0) and (-9,0), and and sketch the hyperbola to approach them. Then we draw in the defining rectangle: By letting x=4 and -4 in each of those asymptote equations we can see that the corners of the defining rectangle are: (9,), (9,), (-9,), and (-9,) so a = 9 and b = , so the equation is - = 1 Edwin```