You can put this solution on YOUR website! in order to graph this, you have to solve for y.
you start off with:
x^2 + 4y^2 = 64
subtract x^2 from both sides to get:
4y^2 = 64 - x^2
divide both sides by 4 to get:
y^2 = (64-x^2)/4
take square root of both sides to get:
y = +/-
you could simplify further but it's not necessary.
you would graph 2 equations.
first equation would be:
y =
and second equation would be:
y = -
shown below: