$\"\"$

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Co-vertices : $\"\"$ .

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Foci: $\"\"$ and $\"\"$ .

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Since the $\"\"$ -coordinates of the co-vertices are same, the ellipse is horizontal.

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The standard form of horizontal ellipse is $\"\"$ .

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Where $\"\"$ , $\"\"$ ,

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$\"\"$ : length of semi major axis,

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$\"\"$ : length of semi minor axis,

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Center : $\"\"$ ,

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Foci : $\"\"$ ,

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Vertices : $\"\"$ ,

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Co-vertices : $\"\"$ ,

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Major axis : $\"\"$ ,

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Minor axis : $\"\"$ .

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$\"\"$

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Length of the semi major axis is equals to distance between co-vertices and foci.

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Distance between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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The center is located the mid point of co-vertices.

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$\"\"$ .

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The distance between co-vertices is equals to $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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Substitute the values $\"\"$ , $\"\"$ and $\"\"$ in standard form of horizontal ellipse.

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$\"\"$ .

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$\"\"$

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The ellipse equation is $\"\"$ .

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