document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=481810>Question 481810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of each ellipse satisfying the given conditions.\r<BR>\n" );
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document.write( "Endpoints of major axis:  (2,2) and (8,2)<BR>\n" );
document.write( "Endpoints of minor axis:  (5,3) and (5,1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329953 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=329953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of each ellipse satisfying the given conditions. <BR>\n" );
document.write( "Endpoints of major axis: (2,2) and (8,2)<BR>\n" );
document.write( "Endpoints of minor axis: (5,3) and (5,1)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Given points show this is an ellipse with horizontal major axis of the standard form:<BR>\n" );
document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1, a>b, with (h,k) being the center.<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "Center: (5,2) (notice that the y-coordinates(2) of the end points of the major axis do not change, and likewise, the x-coordinates(5) of the end points of the minor axis do not change.)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Length of major axis=8-2=6=2a<BR>\n" );
document.write( "a=3<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "Length of minor axis=3-1=2<BR>\n" );
document.write( "b=1<BR>\n" );
document.write( "b^2=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation: (x-5)^2/9+(y^2)^2/1=1 </SPAN>\n" );
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