$\"\"$

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Observe the graph :

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The ellipse is horizontal.

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The center of the ellipse is $\"\"$ .

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The vertex of the graph are $\"\"$ .

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Standard form of horizontal ellipse $\"image\"$ .

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Where $\"image\"$

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$\"image\"$ is length of semi major axis and $\"image\"$ is length of semi minor axis.

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$\"\"$

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Find the value of $\"image\"$ .

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$\"image\"$ is the distance between center and vertex of the ellipse.

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The distance between the two points is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$

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Find the value of $\"image\"$ .

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$\"image\"$ is the distance between center and co-vertex point.

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From the graph :

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One of the co-vertex is $\"\"$ .

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The distance between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute the values of $\"\"$ , $\"\"$ and $\"\"$ in $\"image\"$ .

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$\"\"$

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$\"\"$ .

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Therefore, the ellipse equation is $\"\"$ . $\"\"$

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The ellipse equation is $\"\"$ .