Plot those 4 points:



Connect them to show the major and minor axes
of the ellipse:



Sketch in the ellipse:



We can see that the ellipse has the standard form:



where 

1. (h,k) = the center 

2. a = the distance from the center to either end of the 
major axis.

3. b = the distance from the center to either end of the 
minor axis.

We can see from the graph that 

1. the center of the ellipse is (h,k) = (7,6)

2. a = 3

3. b = 2

So the equation 



becomes



or



Edwin