The slope of the line represented by the equation y = –1/2 x +1/4 is -1/2.
The given equation is y = –1/2 x +1/4.
If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as y = mx +c.
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
By comparing the given equation with the general form of the equation y = mx+b, we get slope = -1/2
Therefore, the slope of the equation y = –1/2 x +1/4 is -1/2.
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