A construction worker shined their flashlight on the floor at an angle which created an ellipse. A coordinate grid was laid out on the floor such that the ellipse created
was centered at the origin. The longest horizontal part of the ellipse created was 12
feet in length on the x-axis and the shortest vertical length was 8 feet in length on
the y-axis.

What would be an equation that describes the ellipse created by the flashlight on the coordinate grid?