Final answer:
The slope of a line parallel to the line y=5/2 - 4/3 is 0, because parallel lines share the same slope and the given line has a slope of 0.
Step-by-step explanation:
The question asks about the slope of a line parallel to a given line. In the linear equation y = mx + b, the slope is represented by m, and it dictates how steep the line is.
The line given is y = 5/2 - 4/3, which appears to be a constant because it lacks an x-term and thus the slope (m) is 0. Consequently, any line that is parallel to this line would also have a slope of 0, as parallel lines have identical slopes.