Final answer:
The slope of line k, which is parallel to line j, is 5/3 because parallel lines have identical slopes.
Step-by-step explanation:
If a line has a slope of 5/3, any line parallel to line j will have the same slope. This is because parallel lines have identical slopes. Thus, the slope of line k, which is parallel to line j, would also be 5/3. This principle applies to all straight lines, as the slope is constant for any given line.
It's important to note that the slope indicates the steepness of the line where a slope of 5/3 means there is a rise of 5 units for every 3 units run (horizontal change).