# Chapter 3 - Section 3.4 - The Slope of a Line - Exercise Set: 36

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).

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