major axis vertical length 12, length of minor axis=8, center at (-4,6). find the standard form of the equation of the ellipse satisfying the coordinates

Where "a" and "b" are the semi-axis lengths in the x - and y-directions, respectively, the general form of the equation for an ellipse centered at (h, k) can be written as

(x-h) ²/a² + (y-k) ²/b² = 1

Substituting your given values of a=4, b=6, h=-4, k=6, your equation is

(x+4) ²/16 + (y-6) ²/36 = 1