To find the slope of line \( u \), which is parallel to line \( t \), we need to first identify the slope from the equation of line \( t \).
The equation of line \( t \) is given as: \[ y = \frac{75}{47} x + \frac{65}{2} \]
In a linear equation of the form \( y = mx + b \), \( m \) represents the slope. Therefore, the slope of line \( t \) is: \[ m_t = \frac{75}{47} \]
Since line \( u \) is parallel to line \( t \), it will have the same slope. Thus, the slope of line \( u \) is also: \[ m_u = \frac{75}{47} \]
Therefore, the final answer for the slope of line \( u \) is: \[ \boxed{\frac{75}{47}} \]