Two lines are parallel if they have the same slope, addittionaly, in an equation with the form:
y = mx + b
m is the slope.
So, the slope of the line y = 3x - 5 is 3
Therefore the slope of the line that passes through the point (6,1) and is parrallel to the line y = 3x - 5 is also 3.
Answer: 3