Linear dependence of gradient vector

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I was wondering how you find the points (x,y) where ∇g1(x,y) and ∇g2(x,y) are linearly dependent.

The two functions I have are: g1(x,y)= xy and g2= y-x^2

I've found the gradient vectors ∇g1= (y,x) and ∇g2= (-2x,1)

Now I'm wondering how to find the points where they are linearly dependent?

Thanks,