Question

I have to write the equation of a hyperbola whose center is (0,0) and which has a vertical transverse axis.
The equations of the asymptotes are 6x+2y=0 and 6x-2y=0.

I don't even know where to begin. Could someone help? Thanks.
first of all I don't see why the asymptotes were not reduced to
3x ± y = 0

work it backwards.
Recall that for
x^2/a^2 - y^2/b^2 = 1 (the general hyperbola)
the asymptotes are bx ± ay = 0

so b=3 and a=1
for a the equation

x^2 - y^2/9 = 1 or
9x^2 - y^2 = 9

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