The equation of line \( v \) is given by:
\[ y = \frac{8}{3}x + 2 \]
The slope of line \( v \) is \( \frac{8}{3} \).
Since line \( w \) is parallel to line \( v \), it will have the same slope.
Therefore, the slope of line \( w \) is also:
\[ \frac{8}{3} \]