Question 1121776
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a = length of semi-major axis
b = length of semi-minor axis
c = distance from center to each focus<br>
The two foci are (-3,-3) and (7,-3); that means the center is (2,-3); that makes c=5.<br>
The point (2,-7) is on the ellipse; it has the same x coordinate as the center; that makes b=4.<br>
For an ellipse, {{{c^2 = a^2-b^2}}}, or {{{a^2 = c^2+b^2}}}.  You know b and c, so you can determine a.<br>
Now you know a, b, and the center of the ellipse.  Plug them into the standard form of the equation.