ANSWER
[tex]y=\frac{1}{4}x[/tex]
EXPLANATION
Given;
[tex]\begin{gathered} slope(m)=\frac{1}{4} \\ y-intercept=0 \end{gathered}[/tex]
Recall, that the standard equation of a straight line is;
[tex]y=mx+b[/tex]
Substitute the values of m and b;
[tex]\begin{gathered} y=mx+b \\ y=\frac{1}{4}x+0 \\ y=\frac{1}{4}x \end{gathered}[/tex]
