Answer
(1, 4)
Work Step by Step
We know that the center of the ellipse lies on the same horizontal line as the foci. Because both foci have a y-coordinate of 4, this means that the center is on the line y=4.
We know that the center is exactly in the middle of the two foci, which have x values of 6 and -4. Thus, we have:
$$x=(6-4)/2
\\x=2/2
\\x=1$$
This gives the point (1, 4).
