Answer:
The slope of the line is -1/2
Explanation:
The general equation of a line is
![y=mx+q](https://tex.z-dn.net/?f=y%3Dmx%2Bq)
where
m is the slope of the line, which is the rate of change of the y-variable with respect to the x-variable
q is the y-intercept, which is the y-coordinate at which the line touches the y-axis
The equation of the line given in this problem is
![y=-\frac{1}{2}x+\frac{1}{4}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B1%7D%7B4%7D)
Therefore, by comparing it with the general equation, we observe that:
![m=-\frac{1}{2}\\q=\frac{1}{4}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B2%7D%5C%5Cq%3D%5Cfrac%7B1%7D%7B4%7D)
Therefore, the slope of this line is -1/2.