-3x + 5y = 2x + 3y
+ 3x + 3x
-------------------------------
5y = -x + 3y
-3y - 3y
---------------------------
2y = - x
----- -------
2 2
y = -1/2x
The slope of this line is -1/2. Slope intercept form is y = mx + b, where m stands for slope and b stands for y - intercept.