Which is a linear function? a. y=3x^2 b. y =1/3x c. y=x^3+5 d. 2/3x=y-1 ( explain)

The primary way in which a linear function stands out from other functions is that the independent variable, usually x, has the exponent 1:  x^1 or just x.

Thus, we must immediately elimiinate A and C.  

If you meant (1/3)x in B, then B is a linear function; if you meant 1 / (3x), then B is not a linear function.

Safest choice is D, supposing that by 2/3x=y-1 you actually meant

(2/3)x=y-1.  You could solve this for y:  y = (2/3)x + 1.

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