Answer:
rearrange the equation to y=mx+c and simplify it
to get
2x+3y=27
3y= -2x+27
y= (-2/3)x+ 9
perpendicular line - flip the gradient and add a negative sign
so -2/3 become 3/2 (the negative sign is cancelled, since it was already negative)
y=(3/2)x+c
y=1.5x+c
to find the intercept
input the x and y values
3= 1.5*-2+c
3=-3+C
6=c
therefor y=1.5x+6
