SOLUTION: Find an equation of an ellipse having the given intercepts: x-intercept: ±3 y-intercept: ±4
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Question 151665
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Find an equation of an ellipse having the given intercepts:
x-intercept: ±3
y-intercept: ±4
Answer by
orca(409)
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The ellipse has the form of
x^2/a^2 + y^2/b^2 = 1
As the x-intercept is +-3, so a = 3
As the y-intercept is +-4, so b = 4
Therefore the equation is
x^2/3^2 + y^2/4^2 = 1
or written as
x^2/9 + y^2/16 = 1