equations of ellipses

Question

I was given the pionts (1,1) (5,1) (3,6) (3,-4) and i have to fins the equation.

Answer 1

Plot the points on a coordinate plane. 

Find the midpoints in the x and y directions to locate the center point where the major axis and minor axis meet. Here is an online app that can help you understand ellipses, though you may also find others:

 

http://www.mathopenref.com/coordgeneralellipse.html

 

Look at the two pairs of points (1,1) (5,1) and (3,6)(3,-4) you can use the midpoint formula if you don't the center from your graph. Next examine the radii of each axis