[tex]\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{The slope of f(x):}\\\\\text{We have the points}\\\\(0,\ 3)\to x_1=0,\ y_1=3\\(1,\ 1)\to x_2=1,\ y_2=1\\\\\text{substitute}\\\\m=\dfrac{1-3}{1-0}=\dfrac{-2}{1}=-2\\\\g(x)=-2x-5\to\text{the slope}\ m=-2\\\\Answer:\ \text{D. The slope of f(x) is the same as the slope of g(x)}[/tex]
