Question 1149937: Write an equation for the ellipse with x intercepts (8,0) and (-8,0) and y intercepts (0,7) and (0,-7)
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
The given x- and y-intercepts tell us the center of the ellipse is at the origin (0,0); and it tells us that the semi-major axis is 8, in the x direction, and the semi-minor axis is 7, in the y direction.
The equation of an ellipse with center at the origin, semi-major axis a in the x direction, and semi-minor axis b in the y direction, is
You have the a and b from the given information; plug them in to get the equation.
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