For this case we have that the equation of the line of the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We have as data that:
[tex]m = \frac {1} {4}\\b = - \frac {3} {4}[/tex]
Substituting:
[tex]y = \frac {1} {4} x- \frac {3} {4}[/tex]
Answer:
[tex]y = \frac {1} {4} x- \frac {3} {4}[/tex]