Question 949561
Find an equation for the hyperbola that satisfies the given conditions.
Asymptotes: 
y = ±x,
hyperbola passes through 
(5, 4) 
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Hyperbola has a horizontal transverse axis. (given point(5,4) is below the asymptote line, y=x)
Its standard form of equation:{{{(x-h)^2/a^2-(y-k)^2/b^2=1}}}
slope of asymptotes=1=b/a
a=b
center: (0,0) (asymptotes go thru the center)
equation:{{{x^2/a^2-y^2/a^2=1}}}
{{{25/a^2-16/a^2=1}}}
{{{9/a^2=1}}}
a^2=9
b^2=9
equation:{{{x^2/9-y^2/9=1}}}