Answer
$$m$$
Work Step by Step
For $f(x)=mx+b$ and $h \neq 0$ we have$$\frac{f(x+h)-f(x)}{h}=\frac{m(x+h)+b-(mx+b)}{h}=\frac{mx+mh+b-mx-b}{h}=\frac{mh}{h}=m$$
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