## College Algebra (10th Edition)

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