Answer :
By definition, the Standard form of an equation of the line is the following:
[tex]Ax+By=C[/tex]Where "A", "B" and "C" are Integers ( "A" shouldn't be negative or zero and "B" cannot be zero).
For this case, you have the following equation:
[tex]3y=2x+5[/tex]To write in Standard form, you must bring the term 2x to the left:
[tex]-2x+3y=+5[/tex]Since "A"