Question 467976
what is the other major axis vertex for the ellipse definded bt this equation: 
(x+3)^2/(64)+ (y-9)^2/(49) = 1 
one major axis vertex is located at (5,9
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(x+3)^2/(64)+ (y-9)^2/(49) = 1
This is an ellipse with a horizontal major axis with center at (-3,9).
The major axis is on the line y=9.
On this line given vertex (5,9) is 8 units from center (-3,9)
So the other vertex is also 8 units from center in the other direction at (-11,9)
see graph below as a visual check on answer:
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y=±(49-49(x+3)^2/64)^.5+9
{{{ graph( 300, 300, -20, 10, -10, 20, (49-49(x+3)^2/64)^.5+9,-(49-49(x+3)^2/64)^.5+9) }}}