Slope can be found by differentiating the equation..
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The Brainliest Answer!
You can find the slope of Hyperbola by differentiate the given Equation of  Hyperbola,
Let the an equation of Hyperbola is y² = 4ax
                   Slope of the Hyperbola = dy/dx
Differentiate the equn. w.r.t  'x' .-
 2y.dy/dx  = 4a
dy/dx = 4a/2y =+- 4a/2√(ax)  = +-2√(a/x)        
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keep it in the mind I havenot given actually an eqn of hyperbola in the exanple,It is a parabola . I showed an method only with the help of this equation.
And thnk you!