Find asymptotes on a hyperbola graph?

Sketch the graph of the given equation of a hyperbola. Be sure to label the center, verticies, foci, transverse and conjugate axes, and asymptotes. x^2-10y^2=40

I have the graph of the hyperbola here: x^2-10y^2=40 - Wolfram|Alpha

How do I get the asymptotes? I have an equation that asymptotes: y=+- (a/b)x. I know a = 2*(sqrt(10) and b = 2. But how do I label them on the graph? Am I doing something wrong?

Thanks

Re: Find asymptotes on a hyperbola graph?

If you can write your equation in the form then it is centred at and has asymptotes at . So in your case:

Can you read off the centre and asymptotes now?

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Re: Find asymptotes on a hyperbola graph?

So it looks like this?

Attachment 26254