Final answer:
The slope of a line parallel to the line of y=3/4x-1 is also 3/4, since parallel lines have identical slopes.
Step-by-step explanation:
The slope of a line parallel to the line of y=3/4x-1 is the same as the slope of the given line.
In the equation y=mx+b, m represents the slope of the line.
Hence, the slope of the given line is 3/4.
Since parallel lines have identical slopes, the slope of any line parallel to this one would also be 3/4.