Answer:
Slope:
[tex]m = -\displaystyle\frac{1}{2}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]y = -\displaystyle\frac{1}{2}x + \displaystyle\frac{1}{4}[/tex]
Comparing this equation to the slope-intercept form:
[tex]y = mx + c[/tex]
where m is the slope of line and c is the y-intercept that is the value of y when x is zero.
on comparing, we get:
[tex]m = -\displaystyle\frac{1}{2}\\c = \displaystyle\frac{1}{4}[/tex]
The slope of the given line is
[tex]m = -\displaystyle\frac{1}{2}[/tex]
The slope of the given line is -1/2
The standard equation of a line is expressed as y = mx +b
where
m is the slope
b is the y-intercept
Given the equation y = -1/2x + 1/4
Compare the equations
mx = -1/2 x
m = -1/2
Hence the slope of the given line is -1/2
Learn more on slopes here:https://brainly.com/question/3493733
