Answer:
The equation of the ellipse is

Explanation:
The equation of the ellipse is given by:

where:
Center of the ellipse is (x₀,y₀)
Vertices: (x₀±a,y₀)
c: distance from the center to the focus

Eccentricity

Directrix=

So we can obtain the values:
c=(8, 1)-(3, 1)=8-3= (5,0)=5
x₀= 3
y₀= 1
The directrix is x = 36.8

Then, we have to obtain b:

The equation of the ellipse is:
