SOLUTION: "Identify and describe the conic section y^2/25 - x^2/25 =1

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Question 951653: "Identify and describe the conic section y^2/25 - x^2/25 =1
Answer by lwsshak3(11628) About Me  (Show Source):
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Identify and describe the conic section y^2/25 - x^2/25 =1
This is an equation of a hyperbola with vertical transverse axis and with center at the origin.
Its standard form of equation: y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1
for given conic:
a^2=25
a=5
length of vertical transverse axis=2a=10
b^2=25
b=5
length of conjugate axis=2b=10
both asymptotes go thru center and have slopes of ±a/b=±5/5=±1