document.write( "Question 553468: what are the equations for both asymptotes of the following hyperbola (y^2)/(16)-(x^2)/(9)=1 \n" ); document.write( "
Algebra.Com's Answer #360919 by lwsshak3(11628)\"\" \"About 
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what are the equations for both asymptotes of the following hyperbola (y^2)/(16)-(x^2)/(9)=1
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\n" ); document.write( "(y^2)/(16)-(x^2)/(9)=1
\n" ); document.write( "This is an equation of a hyperbola with vertical transverse axis.
\n" ); document.write( "Its standard form: (x-h)^2/a^2-(y-k)^2/b^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=16
\n" ); document.write( "a=√16=4
\n" ); document.write( "b^2=9
\n" ); document.write( "b=√9=3
\n" ); document.write( "Asymptotes for hyperbolas are straight lines which go thru the center and are of the standard form: y=mx+b, m=slope, b=y-intercept.
\n" ); document.write( "For given equation:
\n" ); document.write( "Slopes of asymptotes: ±a/b=±4/3
\n" ); document.write( "y-intercept=0
\n" ); document.write( "Equation of asymptotes:
\n" ); document.write( "y=-4x/3+0=-4x/3
\n" ); document.write( "and
\n" ); document.write( "y=4x/3+0=4x/3 \n" ); document.write( "
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