ellipse equation

Question

How do I find the equation of an ellipse if I have the major axis endpoints and the minor axis length?

End points  (1,-4) and (1,8)

minor axis length 8

Answer 1

Use the end points to find the other axis and the center.

So the other axis is 6 and the center is ( 1 , 2 )

Where 

(x - i) ^2  / a^2 +  (y - j)^2  / b^2  = 1

here the center is (i , j)  and a and b are your axis