Answer
The given equation represents a linear function as it can be rewritten in the form $y=mx+b$.
Work Step by Step
$2+\frac{1}{6}y=3x+4$
Subtracting $2$ from both sides, we get
$2+ \frac{1}{6}y-2=3x+4-2$
$\implies \frac{1}{6}y=3x+2$
Multiply both sides by $6$ to get
$y=18x+12$
We can rewrite the given equation $2+\frac{1}{6}y=3x+4$ as $y=18x+12$ which is in the form $y=mx+b$. So, the given equation represents a linear function.
