Answer
-3
Work Step by Step
We are given:
$f(x)=-3x+1$
We find the difference quotient:
$\displaystyle \frac{f(x+h)-f(x)}{h}$
$\displaystyle =\frac{-3(x+h)+1-(-3x+1)}{h}$
$\displaystyle =\frac{-3x-3h+1+3x-1}{h}$
$\displaystyle =\frac{-3h}{h}$
$\displaystyle =-3$
