document.write( "Question 610056: What are the asymptotes of the hyperbola given by the equation (y^2/1)-(x^2/121)=1? \n" ); document.write( "
Algebra.Com's Answer #384264 by lwsshak3(11628)\"\" \"About 
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What are the asymptotes of the hyperbola given by the equation
\n" ); document.write( "(y^2/1)-(x^2/121)=1?
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\n" ); document.write( "This is an equation of a hyperbola with vertical transverse axis.
\n" ); document.write( "Its standard form: (y-k)^2/a^2-(x-h)^2)/b^2=1, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given equation: (y^2/1)-(x^2/121)=1
\n" ); document.write( "center: (0,0)
\n" ); document.write( "a^2=1
\n" ); document.write( "a=1
\n" ); document.write( "b^2=121
\n" ); document.write( "b=√121=11
\n" ); document.write( "..
\n" ); document.write( "Asymptotes are straight lines that go thru the center (0,0)
\n" ); document.write( "Standard form of equation for straight lines: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "For hyperbolas with vertical transverse axis:
\n" ); document.write( "slopes of asymptotes=±a/b=1/11
\n" ); document.write( "equations of asymptotes:
\n" ); document.write( "y=±x/11+b
\n" ); document.write( "since center is at (0,0), y-intercept, b=0
\n" ); document.write( "equation of asymptotes:
\n" ); document.write( "y=x/11
\n" ); document.write( "and
\n" ); document.write( "y=-x/11\r
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