SOLUTION
(4) We are told to write the equation of a line in slope intercept form given the characteristics such that
[tex]\text{slope =}\frac{1}{4}\text{ and y-intercept = 2}[/tex]Equation of a line in slope intercept form is given as
[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is the y-intercept } \end{gathered}[/tex]Substituting the values we were given into the equation, we have
[tex]\begin{gathered} y=mx+b \\ y=\frac{1}{4}x+2 \\ y=\frac{x}{4}+2 \end{gathered}[/tex]Hence, the answer is
[tex]y=\frac{x}{4}+2[/tex]