Question 1146586
You simply want to start with y=(9/2)x+3, and put this into Ax+By=C form.  Simple Algebra.  What is stopping you?


{{{2y=2(9x/2+3)}}}

{{{2y=9x+6}}}

{{{2y-9x=6}}}

{{{-2y+9x=-6}}}

{{{highlight(9x-2y=-6)}}}