an ellipse has the following points
(-2,3) left
(2,5) top
(6,3) right
(2,1) bottom
write the equation in general and standard form of the ellipse
The length of the axis are as follows:
Between : length is 6-(-2)=8
Between : length is 5-1=4
So it follows that the major axis is parallel to the x axis and , and the minor axis is parallel to the y axis and .
The ellipse will take the form .
I leave it for you to verify that the center of the ellipse is (2,3).
Therefore, the equation of the ellipse is
Does this make sense?