Question 292750: Please help to solve this problem. Write the equation for endpoints of major axis at (-11,5) and (7,5). Endpoints of minor axis at (-2,9) and (-2,1). Thanks.
KC
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Write the equation if endpoints of major axis at (-11,5) and (7,5).
Endpoints of minor axis at (-2,9) and (-2,1).
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Plot those points so you can see what is happening.
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center is at the midpoint between (-11,5) and (7,5).
mid point is (-4/2,5) or (-2,5)
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2a = distance from (-11,5) to (7,5) = 18
So a = 9
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2b = distance from (-2,9) to (-2,1) = 8
So b = 4
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Equation:
(x+2)^2/9^2 + (y-5)^2/4^2 = 1
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(x+2)^2/81 + (y-5)^2/16 = 1
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Cheers,
Stan H.
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