In what form is the following linear equation written? y-3=2/3(x-1)

First we solve what we can solve.
y-3= 2/3(x-1)
We first multiply
y-3= 2/3 (x) - 2/3
Then we move the -3 and it becomes +3 on the other side
y= 2/3 (x) - 2/3 + 3
And we solve what we can to get our answer.
y= 2/3 (x) + 2 1/3