The parallel line would have an equation of y = -1/3x + 23/3
In order to find this we need to start with the slope. The slope of a parallel line has the same slope. Since the coefficient of x (which is the slope) of the original equation is -1/3, we know the new slope is -1/3. Now we can take that and the point and put them both into slope intercept form to find the intercept.
y = mx + b
5 = -1/3(8) + b
5 = -8/3 + b
23/3 = b
Now that we have the slope (-1/3) and the intercept (23/3), we can put them in for our final answer.
y = -1/3x + 23/3
