You don't say which way the ellipse is oriented.....if the major axis is parallel to the x axis, we have
(x + 2)^2 / 7^2 + (y - 3) / 3^2 = 1 simplify this
(x + 2)^2 / 49 + (y -3) / 9 = 1
However....if the major axis is parallel to the y axis, we have
(x + 2)^2 / 3^2 + (y - 3) / 7^2 = 1
(x + 2)^2 / 9 + (y -3) / 49 = 1