Question 1137082
<br>
The coordinates of the center and one of the vertices tell us that the major axis is horizontal.<br>
The standard form of the equation of an ellipse with horizontal major axis is<br>
{{{(x-h)^2/a^2+(y-k)^2/b^2 = 1}}}<br>
In the equation, (h,k) is the center of the ellipse; a is the semi-major axis (distance from the center to each vertex) and b is the semi-minor axis.<br>
The given information makes it easy to find the values of a and b and thus write the equation.<br>
I leave that easy part to you.