document.write( "Question 554815: Grap and show the asymptotes: x^2/9-y^2/49=1 \n" ); document.write( "
Algebra.Com's Answer #361976 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Graph and show the asymptotes: x^2/9-y^2/49=1
\n" ); document.write( "**
\n" ); document.write( "x^2/9-y^2/49=1
\n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis of the standard form:
\n" ); document.write( "(x-h)^2-(y-k)^2=1, with (h,k) being the (x,y) coordinates of the center
\n" ); document.write( "For given equation:
\n" ); document.write( "center: (0,0)
\n" ); document.write( "a^2=9
\n" ); document.write( "a=√9=3
\n" ); document.write( "b^2=49
\n" ); document.write( "b=√49=7
\n" ); document.write( "slope of asymptotes=±b/a=±7/3
\n" ); document.write( "asymptotes are two straight lines with slopes 7/3 and -7/3, both going thru the center at (0,0)
\n" ); document.write( "Equation of asymptotes: y=7x/3 and y=-7x/3
\n" ); document.write( "See graph below:
\n" ); document.write( "y=±(49x^2/9-49)^.5
\n" ); document.write( " \n" ); document.write( "
\n" );