To find the slope of a line parallel to the given line \( y = -5x + 6 \), we first identify the slope from the equation:
The slope-intercept form of a line is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
In the equation \( y = -5x + 6 \), the slope \( m \) is \( -5 \).
Since parallel lines have the same slope, the slope of the line parallel to \( y = -5x + 6 \) is also \( -5 \).
Thus, the slope of the parallel line is: \[ m = -5 \]