The slope of the line \( r \) given by the equation \( y = 60x + 42 \) is 60, since the slope-intercept form of a line is \( y = mx + b \), where \( m \) is the slope.
Since line \( s \) is parallel to line \( r \), it will have the same slope.
Therefore, the slope of line \( s \) is:
\[ \boxed{60} \]