A line with a slope of 0 is a horizontal line. The y-intercept indicates where the line crosses the y-axis. In this case, the y-intercept is given as \( \frac{1}{5} \).
The slope-intercept form of a line is given by the equation:
\[ y = mx + b \]
where \( m \) is the slope and \( b \) is the y-intercept.
Since the slope \( m \) is 0 and the y-intercept \( b \) is \( \frac{1}{5} \), we can substitute these values into the equation:
\[ y = 0x + \frac{1}{5} \]
Simplifying this, we can drop the \( 0x \) term, leading to:
\[ y = \frac{1}{5} \]
Thus, the equation of the line in slope-intercept form is:
\[ y = \frac{1}{5} \]