SOLUTION: Find an equation for the hyperbola that satisfies the given conditions. Asymptotes: y = �x, hyperbola passes through (5, 4) Please explain Thank you

Question 949561: Find an equation for the hyperbola that satisfies the given conditions.
Asymptotes:
y = �x,
hyperbola passes through
(5, 4)
Please explain
Thank you
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find an equation for the hyperbola that satisfies the given conditions.
Asymptotes:
y = �x,
hyperbola passes through
(5, 4)
***
Hyperbola has a horizontal transverse axis. (given point(5,4) is below the asymptote line, y=x)
Its standard form of equation:
slope of asymptotes=1=b/a
a=b
center: (0,0) (asymptotes go thru the center)
equation:

a^2=9
b^2=9
equation:
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