document.write( "Question 743730: Find the equation of the ellipse that the ends of the major axis at (-9,4) and (3,4) and passing through the point (-3,8). \n" ); document.write( "

Algebra.Com's Answer #453033 by josgarithmetic(39620) $\"\"$ $\"About$

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You can get the $\"2%2Aa\"$ and the center point from the major axis information. From -9 to +3 is $\"12=2%2Aa\"$ , so $\"highlight%28a=6%29\"$ . You can find from the two endpoints of the axis that the 'a' goes with the x, being horizontal major axis. \r
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\n" ); document.write( "\n" ); document.write( "The center is on the line y=4 and is the midpoint of x at -9 and +3, so $\"highlight%28%28-9%2B3%29%2F2=-3%29\"$ . Center is (-3,4).\r
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\n" ); document.write( "\n" ); document.write( "Up to this, you have $\"%281%2F36%29%28x%2B3%29%5E2%2B%281%2F%28b%29%5E2%29%28y-4%29%5E2=1\"$ .
\n" ); document.write( "To finish, you want to use (-3,8) to find b. \n" ); document.write( "

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