Can some one tell me if I have done this right?

Write an equation in standard form with only intergers for the following line.
The line with slope 6/7, through (0,7)
y=mx+b
y=6/7x+7
-6/7 -6/7
-7*(6/7x+y)=7*-7
6-7y=49

Your first step is OK, but you made some mistakes after that.

Multiply y=6/7x+7 by 7.

7y = 6x + 49