Final answer:
The slope of line n will be 2/5, the same as line m because parallel lines have equal slopes. It's a fundamental property of parallel lines in coordinate geometry.
Step-by-step explanation:
The question is about the slope of parallel lines. If line m has a slope of 2/5, and line n is parallel to line m, then the slope of line n will also be 2/5.
Two lines are parallel if they have the same slope and will never intersect. The slope of a line is defined as the rise over the run, or the change in y over the change in x. In the case of line m, for every 5 units the line runs horizontally, it rises 2 units vertically.
By understanding that parallel lines have equal slopes, we know that line n must also have a slope of 2/5, maintaining the same rate of change, or steepness, as line m. This is a fundamental property of parallel lines in coordinate geometry.