Question 1201708
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Center (2,5) and one end of minor axis (2,3) means the minor axis is vertical, so the general equation is<br>
{{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}<br>
The center is (h,k); a is the semi-major axis; b is the semi-minor axis.<br>
The center (h,k) is given.
The length of the major axis is 12, so a = 6.
The length of the semi-minor axis, b, is the distance from (2,5) to (2,3), which is 2.<br>
So<br>
{{{(x-2)^2/6^2+(y-5)^2/2^2=1}}}<br>
ANSWER: {{{(x-2)^2/36+(y-5)^2/4=1}}}<br>