Respuesta :
Answer:The answer is [tex]-\dfrac{1}{2}.[/tex]
Step-by-step explanation: The given equation is
[tex]y=-\dfrac{1}{2}x+\dfrac{1}{4}.[/tex]
We know that the slope-intercept form of a straight line is given by
[tex]y=mx+c,[/tex]
where, 'm' is the slope and 'c' is the y-intercept of the line.
Comparing the given equation with the slope-intercept form, we get
[tex]m=-\dfrac{1}{2},~~\textup{and}~~c=\dfrac{1}{4}.[/tex]
Thus, the slope of the given line is [tex]-\dfrac{1}{2}.[/tex]
