check your equation again ...
3x=2y=12 ???
did you mean 3x + 2y = 12 ?
change the equation to slope-intercept form ...
3x + 2y = 12
2y = -3x + 12
y = (-3/2)x + 6
the slope of this line is m = -3/2 ... the perpendicular slope is the opposite reciprocal of -3/2, which is 2/3.
you now have the slope of the perpendicular line (2/3), and a point that the perpendicular passes through (0,2)
use the point-slope form of a linear equation to find the equation of the perpendicular line ...
y - y<sub>1</sub> = m(x - x<sub>1</sub>)
y - 2 = (2/3)(x - 0)
y - 2 = (2/3)x
y = (2/3)x + 2