You can put this solution on YOUR website!
Which of the following is an equation of one of the asymptotes of the hyperbola:
First we must get the equation in either the form
. Either way we get a 1 on the right side by dividing every term
, we see that
aČ=16 and bČ=16 and so a=4, b=4
The defining rectangle is then:
So its extended diagonals are the asymptotes:
And they have slope ±1 and pass through the origin so their equations are
y = x and y = -x
In standard form these are
x-y=0 and x+y=0
x-y=0 is one of the choices. But I notice that there is also
the choice 3x-3y=0, which is equivalent to x-y=0. So either
of these would technically be correct.