Answer
The given equation represents a linear function as it can be rewritten in the form $y=mx+b$.
Work Step by Step
$18x-2y=26$
Adding $2y$ to both the sides, we get
$18x=26+2y$
Subtracting $26$ from both the sides, we obtain
$18x-26=2y$
Now, divide by $2$ on both sides of the equation. Then, we have
$y=9x-13$
We can rewrite the given equation $18x-2y=26$ as $y=9x+(-13)$ which is in the form $y=mx+b$. So, the given equation represents a linear function.