document.write( "Question 744231: I need to write an equation for an ellipse with the endpoints of the major axis (7,3) (7,9) , endpoints of the minor axis at (5,6) , (9,6). \n" ); document.write( "

Algebra.Com's Answer #453256 by lwsshak3(11628) $\"\"$ $\"About$

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I need to write an equation for an ellipse with the endpoints of the major axis (7,3) (7,9) , endpoints of the minor axis at (5,6) , (9,6).
\n" ); document.write( "***
\n" ); document.write( "Given ellipse has a vertical major axis. (y-coordinates of major axis change but x-coordinates do not)
\n" ); document.write( "Its standard form of equation: $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2\"$ , a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "y-coordinate of center=6 (midpoint of vertical major axis, (9+3)/2=12/2=6
\n" ); document.write( "x-coordinate of center=7
\n" ); document.write( "center:(7,6)
\n" ); document.write( "a=6 (distance from center to end points of major axis)
\n" ); document.write( "a^2=36
\n" ); document.write( "b=2 (distance from center to end points of minor axis)
\n" ); document.write( "b^2=4
\n" ); document.write( "Equation for given ellipse:
\n" ); document.write( " $\"%28x-7%29%5E2%2F4%2B%28y-6%29%5E2%2F36\"$ \n" ); document.write( "

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