Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b.

3 x^2 - 9y + 6 = 0

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Put the equation in terms of y equal to a function of x:

9y = 3x^2 + 6

Divide by 9:

y = 1/3x^2 + 2/3

Clearly this is not a linear function because x is squared.

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