The slope intercept is easiest for me to use so...
y=mx+b
b= doesn't matter
m=2/3
y=2/3x+b
multiply the entire equation by 3 to cancel out the /3
3y=2x+3b
The value of b still doesn't matter, so ignore the 3b.
The equation that matches this is 3y=2x+6
Hope that helps