Answer
Yes, this function is linear. f(x) = $\frac{1}{5}x + \frac{1}{5}$
Work Step by Step
The given function f(x) = $\frac{x+1}{5}$ is equivalent to f(x) = $\frac{1}{5}x + \frac{1}{5}$ Since the function can be expressed in terms of y=ax+b it is changing by a constant amount and hence, is linear.