Question 544847
Your first step is correct.  Now, to solve for y, multiply both sides by -1, and you get 


-1(3x-3)=-1*-y
-3x+3 = y

y=-3x+3


Now, the slope is -3 and the y intercept is 3, and it looks like this:


{{{ graph(300,300,-6,6,-6,6, -3x+3) }}}


For more help on the topic of graphing and a NON-traditional explanation of Graphing, please see my own website.  Click on my tutor name anywhere in algebra.com.  This takes you to the homepage of my website.  Near the top of my homepage, look for "Basic, Intermediate, and College Algebra: One Step at a Time."  Choose either Basic Algebra or Intermediate Algebra.  In Basic Algebra, look in Chapter 4; in Intermediate Algebra, look in Chapter 5 for the topic Graphing.  


There is also a video from my younger days in which I taught the topic of Graphing and Slope of a Line.  You can find this video at the link on my homepage called "Rapalje Videos in Living Color," then "Basic Algebra".  This video is FREE, as well as everything on my website. 


Since most of my career was spent teaching math IN COLOR, this became a major theme in my teaching career.  In case you forget my name or can't remember how to spell it, an easy way to find my website is to go to the link www.mathinlivingcolor.com.    


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida