x + 3y = 2
x is adding on the left, then it will subtract on the right
3y = 2 - x
3 is multiplying on the left, then it will divide on the right
[tex]y=\frac{2-x}{3}[/tex]Distributing and reordering,
[tex]\begin{gathered} y=\frac{2}{3}-\frac{x}{3} \\ y=-\frac{1}{3}x+\frac{2}{3} \end{gathered}[/tex]The slope of the line is the coefficient alongside variable x, in this case, the slope is -1/3
