# How do you write an equation of an ellipse in standard form given eccentricity of 0.5 if the vertices for the ellipse occur at the points ( 0 , 7 ) and ( 0, -9 )?

##### 1 Answer

Oct 19, 2016

Given that the vertices of an ellipse are (0,7) and (0,-9).

We can say that the center of the ellipse is

and semi major axis

Now it is given that its eccentricity

Again we know

So

So standard equation of the ellipse having center (0,-1) and semi major axis a=8 (along y-axis) and semi minor axis