let me just say that that's an amazing picture
ok
standard form is ax+by=c where a,b, and c are integers and a is usualy positive
18y=24x-9
minus 18y both sides
0=24x-18y-9
add 9 to both sides
9=24x-18y
24x-18y=9
divide both sides by 3
8x-6y=3 is standard form