y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{2}{3}[/tex]
rearrange the given equation into the form y = mx + c
multiply all terms by 2 to eliminate the fractions
x + 3y - 2 = 0
subtract (x - 2) from both sides
3y = - x + 2
divide all terms by 3
y = -[tex]\frac{1}{3}[/tex] x + [tex]\frac{2}{3}[/tex]