Answer:
6
Step-by-step explanation:
In the slope- intercept form (y= mx +c), the slope is the coefficient of x.
Let's rewrite the given equation into the slope- intercept form.
6x -y= 1
6x= y +1
y +1= 6x
y= 6x -1
Since the coefficient of x is 6, the slope of the given line is 6. Parallel lines have the same slope and thus the slope of the line parallel to the given line is also 6.