Answer:
[tex]\textbf{The slope of the parallel line is given by $ \frac{-2}{3} $}\\[/tex]
Step-by-step explanation:
[tex]\textup{The slope of any two parallel lines are equal and they only differ in their $y- intercepts$. }\\\textup{Given $y = \frac{-2}{3}x + \frac{1}{3} $}\\\textup{This is comparable to $y = mx + c$, where $m$ is the slope of that line.}\\\textup{Therefore, the slope of the given line and any line parallel to it is $ \frac{-2}{3}$.}[/tex]
