Question 55042
Remember that if you're given a line of the form {{{y = mx+b)}}} that any line perpendicular to that line must have the form of {{{y = -x/m +b}}}. In English, the slope of two perpendicular lines are negative reciprocals of each other. 

so we know the answer looks like {{{y = -x/3 + c}}}. We just have to find c. Ah..but it must pass through (2,3). Ok...lets plop (2,3) into our line

{{{3 = -2/3+c}}}
{{{11/3 = c}}}

Ok..that wasn't too hard. 

Our answer looks like {{{y = -x/3+11/3}}}

CHECK: Lets graph both lines to see if this looks right

{{{graph(300,300, -1,5,-1,5,3x-2, -x/3+11/3)}}}
The green one there is the answer...and it sure looks like it goes through (2,3)