Answer
$-3$
Work Step by Step
Given $f(x)=-3x+1$
The difference quotient of a function $f(x)$ can be obtained by $\frac{f(x+h)-f(x)}{h}$ provided $h\ne0$, hence:
$\frac{f(x+h)-f(x)}{h} = \frac{-3(x+h)+1-(-3x+1)}{h}$
$= \frac{-3x-3h+1+3x-1}{h}$
$= \frac{-3h}{h}$
Thus, the difference quotient is $-3$.
