The equation of a line parallel to 2x - 3y = 1 will look exactly the same as this one, EXCEPT you'll have a different constant (i. e., a constant term not equal to 1).
1 - 2x
Solve 2x - 3y = 1 for y: -3y = 1 - 2x, or y = ----------
-3
in which the slope, m, is 2/3. The slope of a line perpendicular to 2x - 3y = 1 would be the negative reciprocal of 2/3; that is -3/2 (answer)