The equation you provided is in slope-intercept form, which is given by the equation \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
In your equation, \( y = 0.5 + 5x \), we can rearrange it to match the standard form by swapping the terms:
\[ y = 5x + 0.5 \]
From this, we can see that:
- The slope \( m \) is \( 5 \).
- The y-intercept \( b \) is \( 0.5 \).
So, the slope of the equation \( y = 0.5 + 5x \) is 5.