The equation of line \( d \) is given by:
\[ y = \frac{5}{3}x + 2 \]
The slope of line \( d \) is \( \frac{5}{3} \).
Since line \( e \) is parallel to line \( d \), it will have the same slope. Therefore, the slope of line \( e \) is also:
\[ \frac{5}{3} \]