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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