Slope of Asymptote for 6x^2 - {d}y^2 = 6

[princiebebe57]

Give the slope of the asymptote for the hyperbola given by the equation 6x^2 - {d}y^2 = 6. Give the value that is positive

 

[HallsofIvy]

What are the asymptotes for the hyperbola
\frac{x^2}{a^2}- \frac{y^2}{b^2}= 1?

Can you put your equation in that form?


Another way to do this: The hyperbola comes close to the asymptote for VERY large values of x and y. Rewrite the equation as 6x^2= dy^2+ 6. Suppose x and y are in the tens of millions. How does the constant "6" compare with the rest of the equation?

 

[princiebebe57]

the constant 6 would always be larger?

 

[HallsofIvy]

Is that because 6 is larger than, say, 10000000²? You appear to be saying you have no idea how to do these problems. So why are you trying to do them?