Slope intercept form of a line is y=mx+b where m= slope and b=y-intercept.
So, we need to convert the given equation in this form. For that simply solve the equation for y.
[tex] 5x-y=\frac{1}{4} [/tex]
[tex] -y=-5x+\frac{1}{4} [/tex] Subtract 5x from each sides.
[tex] y=5x-\frac{1}{4} [/tex] Multiply each sides by -1.
So, slope intercept frm is [tex] y=5x-\frac{1}{4} [/tex]