Final answer:
The slope of a parallel line L_(2) would also be 2/7.
Step-by-step explanation:
The slope of a line can be determined by the ratio of the change in y-coordinates (rise) to the change in x-coordinates (run) between any two points on the line. Given that line L(1) has a slope of 2/7, any parallel line L(2) would have the same slope of 2/7.
For example, let's consider two points on line L(2) as (x1, y1) and (x2, y2). The slope, defined as (y2 - y1) / (x2 - x1), would still be 2/7.
Therefore, the slope of a parallel line L(2) would also be 2/7.