The equation you provided is in the slope-intercept form of a linear equation, which is \( y = mx + b \). In this form, \( m \) represents the slope and \( b \) represents the y-intercept.
In the equation \( y = -\frac{1}{4}x + 2 \):
- The slope \( m \) is \(-\frac{1}{4}\).
Therefore, the slope of the line is \(-\frac{1}{4}\).