The equation form we need is
(x + 9)^2 (y + 3)^2
________ + _________ = 1
a^2 b^2
a = the length of the major axis / 2 = 14/2 = 7 ⇒ a^2 = 49
c = the distance from the center to the focii = 3 ⇒ c^2 = 9
b^2 = a^2 - c^2 = 49 - 9 = 40
So we have
(x+ 9)^2 (y + 3)^2
_______ + _________ = 1
49 40