The point-slope form of a line is given by:
y - k = m ( x - h)
Where m is the slope of the line and (h, k) is a point through which the line passes.
We are given the values of m = 1/4 and the point (0, -1).
Substituting:
[tex]\begin{gathered} y-(-1)=\frac{1}{4}(x-0) \\ \text{Simplifying:} \\ y+1=\frac{1}{4}x \\ \text{Solving for y:} \\ y=\frac{1}{4}x-1 \end{gathered}[/tex]