The parallel line would have a slope of 3/8
To find a line parallel to this one, we first need to find the slope of this line. To do this, we need to solve this equation for y.
-3x + 8y = -16
8y = 3x - 16
y = 3/8x - 2
Now we know that the slope would be 3/8, since it is the coefficient of x. Since parallel lines have the same slope, the new line would also have a slope of 3/8.