Final answer:
The slope of the line y=(-7)/(3)x-(1)/(3) is -7/3.
Step-by-step explanation:
The slope of a linear function is the ratio of the change in the y-coordinates to the change in the x-coordinates. In the equation y = mx + b, where m is the slope, the coefficient of x represents the change in y for every increase of 1 in x. In the given equation y = (-7/3)x - (1/3), the slope is -7/3. This means that for every increase of 1 in x, there is a decrease of 7/3 in y.