Final answer:
The slope of a line parallel to the line whose equation is 6x - y = 1 is 6.
Step-by-step explanation:
The question asks for the slope of a line that is parallel to a given line. To find the slope of the original line, we first need to rewrite its equation, 6x - y = 1, into slope-intercept form, which is y = mx + b, where m represents the slope, and b represents the y-intercept. By manipulating the original equation, we get y = 6x - 1. Therefore, the slope of the given line is 6. Since parallel lines have the same slope, the slope of a line parallel to the one given will also be 6.