SOLUTION: one major axis vertex is located at (16,-7). find the other major axis vertex for the ellipse defined by this equation: (x-8)^2/64 + (y+7)^2/49 =1

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Question 749206: one major axis vertex is located at (16,-7). find the other major axis vertex for the ellipse defined by this equation: (x-8)^2/64 + (y+7)^2/49 =1
Answer by lwsshak3(11628) About Me  (Show Source):
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one major axis vertex is located at (16,-7). find the other major axis vertex for the ellipse defined by this equation: (x-8)^2/64 + (y+7)^2/49 =1
This is an equation of an ellipse with horizontal major axis.
Its standard form: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1, a>b, (h,k)=(x,y) coordinates of center
For given equation: %28x-8%29%5E2%2F64+%2B+%28y%2B7%29%5E2%2F49+=1
center: (8,-7)
a^2=64
a=8
length of horizontal major axis=2a=16
other major axis vertex: (0,-7)