What is the slope of the line represented by the equation [tex]$y=-\frac{1}{2} x+\frac{1}{4}$[/tex]?

A. [tex]\frac{1}{2}[/tex]
B. [tex]\frac{1}{4}[/tex]
C. [tex]\frac{1}{4}[/tex]
D. [tex]\frac{1}{2}[/tex]



Answer :

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].