The parallel slope would be -3/8 and the perpendicular slope would be 8/3
To find this, we first need to find the slope of this line. We can do so by solving for y.
3x + 8y = 3
8y = -3x + 3
y = -3/8x + 3/8
Now that we have the slope of -3/8, we can tell the parallel line is also -3/8, because parallel lines have the same slope.
We can also find the perpendicular slope as 8/3 since perpendicular lines have opposite and reciprocal slopes.