Final answer:
The slope of line n, which is perpendicular to line m, is -1/7.
Step-by-step explanation:
When two lines are perpendicular, their slopes are negative reciprocals of each other. The slope of line m is 7, so the slope of line n will be the negative reciprocal of 7.
To find the negative reciprocal, we take the reciprocal of 7, which is 1/7, and then negate it to get -1/7.
Therefore, the slope of line n is -1/7.