Question 857889
Find the standard of the equation of the ellipses with the given characteristics and center at origin: vertical major axis and passes through the points (0,6) and (3,0)
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Standard form of equation for an ellipse with vertical major axis and center at the origin:
{{{x^2/b^2+y^2/a^2=1}}}, a>b, (h,k)=coordinates of center
2 equations plugging in coordinates of given points on ellipses:

{{{0/b^2+6^2/a^2=1}}}
a^2=36
..
{{{3^2/b^2+0/a^2=1}}}
b^2=9
..
Equation of given ellipse:
{{{x^2/9+y^2/36=1}}}