Answer
The slope of the line $m=-2$ and its $y$-intercept is $(0,1)$
Work Step by Step
$f(x)=-2x+1$
Substitute $f(x)$ by $y$ for representative purposes:
$y=-2x+1$
The equation of this line is now in slope-intercept form. This form is $y=mx+b$, where $m$ is the slope of the line and $b$ is its $y$-intercept.
In this case, $m=-2$ and $b=1$
The slope of the line $m=-2$ and its $y$-intercept is $(0,1)$
The graph is shown below: