document.write( "Question 753377: What is the asymptote equation for hyperbolas? \n" ); document.write( "

Algebra.Com's Answer #458371 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
What is the asymptote equation for hyperbolas?
\n" ); document.write( "Standard form of equation for hyperbolas:
\n" ); document.write( "With horizontal transverse axis: $\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"$ , (h,k)=(x,y) coordinates of center
\n" ); document.write( "With vertical transverse axis: $\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\"$ , (h,k)=(x,y) coordinates of center\r
\n" ); document.write( "\n" ); document.write( "Asymptote equations for hyperbolas are straight lines of the form: y=mx+b, m=slope, b=y-intercept.
\n" ); document.write( "These lines go thru the center of the hyperbola.
\n" ); document.write( "For hyperbolas with vertical transverse axis, slopes=帶/b
\n" ); document.write( "For hyperbolas with horizontal transverse axis, slopes=帳/a
\n" ); document.write( "Since you have a point on the line(center)and the slope, you can derive two straight line equations, one with a positive slope and the other with a negative slope \n" ); document.write( "

\n" );