Consider the linear equation that represents the relationship between the number of hours studied, denoted as x, and the score achieved on a test, denoted as y. The equation is given by:
$$y = 3x + 50$$
This equation suggests that a student has a base score of 50 and each hour of study increases the score by 3 points. If another student studied for 6 hours and achieved a score of 74, what was the slope of the line representing the relationship between hours studied and score?