Question 753377: What is the asymptote equation for hyperbolas?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! What is the asymptote equation for hyperbolas?
Standard form of equation for hyperbolas:
With horizontal transverse axis:  , (h,k)=(x,y) coordinates of center
With vertical transverse axis:  , (h,k)=(x,y) coordinates of center
Asymptote equations for hyperbolas are straight lines of the form: y=mx+b, m=slope, b=y-intercept.
These lines go thru the center of the hyperbola.
For hyperbolas with vertical transverse axis, slopes=ħa/b
For hyperbolas with horizontal transverse axis, slopes=ħb/a
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
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