Answer
The slope of this line is $m=-\frac{1}{4}$ and the y-intercept is (0,0).
Work Step by Step
The equation $f(x)=-\frac{1}{4}x$ is written in the slope-intercept form y=mx+b, where m is the slope, and the point (0,b) is the y-intercept of the line.
$m=-\frac{1}{4}$ and $b=0$
Therefore, the slope of this line is $m=-\frac{1}{4}$ and the y-intercept is (0,0).