document.write( "Question 752601: Find the vertices and asymptotes of the hyperbola. 9y^2 - 16x^2 = 144 \n" ); document.write( "
Algebra.Com's Answer #457894 by lwsshak3(11628)\"\" \"About 
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Find the vertices and asymptotes of the hyperbola.
\n" ); document.write( "9y^2-16x^2=144
\n" ); document.write( "y^2/16-x^2/9=1
\n" ); document.write( "This is a hyperbola with vertical transverse axis.
\n" ); document.write( "Its standard form of equation: \"y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1\"
\n" ); document.write( "center(0,0)
\n" ); document.write( "a^2=16
\n" ); document.write( "a=√16=4
\n" ); document.write( "vertices: (0, 0±a)=((), 0±4)=(0,-4) and (0,4)
\n" ); document.write( "b^2=9
\n" ); document.write( "b=3
\n" ); document.write( "..
\n" ); document.write( "asymptotes: straight line equations of the form: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "line goes thru center of hyperbola, y-intercept=0
\n" ); document.write( "slopes of asymptotes: ±a/b=±4/3 (for hyperbolas with vertical transverse axis)
\n" ); document.write( "equation of asymptote with negative slope: y=-4x/3
\n" ); document.write( "equation of asymptote with positive slope: y=4x/3\r
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