Question 417650
The given line is the same as y = 3x/2 + 5/2.  The slope of this line is 3/2 (and y-intercept 5/2).  The slope of the line perpendicular to this is -2/3.  The slope of the desired line is then y = -2x/3 + 6, or 3y = -2x + 18.