SOLUTION: Find the Equation of the ellipse whose ends of major axis at (-10, 4) and (4, 4) and passing trough the point (-4, 9)

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Question 971482: Find the Equation of the ellipse whose ends of major axis at (-10, 4) and (4, 4) and passing trough the point (-4, 9)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the Equation of the ellipse whose ends of major axis at (-10, 4) and (4, 4) and passing trough the point (-4, 9)
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center: (-3,4)
length of major axis=14=2a
a=7
a^2=49
equation:%28x%2B3%29%5E2%2F49%2B%28y-4%29%5E2%2Fb%5E2=1
solve for b^2 by plugging in coordinates of given point(-4,9) on the ellipse
%28-4%2B3%29%5E2%2F49%2B%289-4%29%5E2%2Fb%5E2=1
1%2F49%2B25%2Fb%5E2=1
25%2Fb%5E2=1-1%2F49=48%2F49
b^2=49*25/48=25.52
equation:%28x%2B3%29%5E2%2F49%2B%28y-4%29%5E2%2F25.52=1