To find the slope of the line represented by the equation [tex]\( y = -\frac{1}{2} x + \frac{1}{4} \)[/tex], we need to recognize that this equation is already in slope-intercept form, which is [tex]\( y = mx + b \)[/tex]. In this form:
- [tex]\( m \)[/tex] is the slope of the line.
- [tex]\( b \)[/tex] is the y-intercept of the line.
Looking at the given equation [tex]\( y = -\frac{1}{2} x + \frac{1}{4} \)[/tex]:
- The coefficient of [tex]\( x \)[/tex] is [tex]\(-\frac{1}{2}\)[/tex].
Therefore, the slope [tex]\( m \)[/tex] of the line is [tex]\(-\frac{1}{2}\)[/tex].
So, the correct answer is [tex]\(\boxed{-0.5}\)[/tex].
