To find the slope of the equation \( y = 0.5 + 5x \), we can rewrite it in the slope-intercept form, which is \( y = mx + b \), where \( m \) represents the slope and \( b \) represents the y-intercept.
In your equation:
- The term associated with \( x \) is \( 5x \).
- Thus, the slope \( m \) is \( 5 \).
Therefore, the slope of the equation \( y = 0.5 + 5x \) is \( \boxed{5} \).