Final answer:
The slope of the line represented by the linear equation f(x) = (-4)/(3)x + 4 is -4/3.
Step-by-step explanation:
The question asks to determine the slope of the line given by the linear equation f(x) = (-4)/(3)x + 4. In the equation of a straight line written in slope-intercept form, y = mx + b, the m term represents the slope. Thus, the slope of the line in the given equation is the coefficient of x, which is -4/3. This indicates a decrease of 4 units in the vertical direction (rise) for every increase of 3 units in the horizontal direction (run).