If you solve the first equation for y, you will have slope-intercept form (y=6x+1). That means the slope of the given line is 6. Parallel lines have the same slope. Use point-slope form to write the equation of the parallel line.
y - (-11) = 6 (x-3)
See the following graph to get the picture:
The parallel line equation can be placed in slope-intercept form if you want.