Final answer:
The slope of any line parallel to the given line is -4/5.
Step-by-step explanation:
To find the slope of a line parallel to the given line, we need to determine the slope of the given line.
The equation of the given line is 8x + 10y = 60.
To find the slope, we can rearrange the equation to the form y = mx + b, where m represents the slope.
So, let's rearrange the equation:
10y = -8x + 60
y = (-8/10)x + 6
y = (-4/5)x + 6
Therefore, the slope of the given line is -4/5. Since parallel lines have the same slope, the slope of any line parallel to the given line will also be -4/5.