Question 1149937
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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.<br>
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<br>
{{{x^2/a^2+y^2/b^2 = 1}}}<br>
You have the a and b from the given information; plug them in to get the equation.<br>