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Math Help - Conic section of an ellipse question...

  1. #1
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    Question Conic section of an ellipse question...

    I would appreciate some insight on finding the equation of and ellipse with the x intercepts 3 and -3, y intercepts 4 and -4.
    I am at a loss right now...
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  2. #2
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    Hello bemidjibasser
    Quote Originally Posted by bemidjibasser View Post
    I would appreciate some insight on finding the equation of and ellipse with the x intercepts 3 and -3, y intercepts 4 and -4.
    I am at a loss right now...
    The general equation of an ellipse with centre the origin and axes lying along the coordinate axes is
    \frac{x^2}{a^2}+\frac{y^2}{b^2}=1
    Putting y and x in turn equal to 0, gives intercepts (\pm a, 0) and (0, \pm b). So, for the intercepts given here:
    a=3, b = 4
    and the equation is therefore:
    \frac{x^2}{9}+\frac{y^2}{16}=1
    Grandad
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