Answer :
SOLUTION
Given the question in the question tab, the following are the steps to solve the problems.
Step 1: Write the general equation of a line
[tex]\begin{gathered} y=mx+c \\ \text{where m=slope, c=y-intercept} \end{gathered}[/tex]Step 2: Write the given parameters
[tex]m=\frac{1}{4},(x,y)=(4,3),c=\text{?}[/tex]Step 3: Calculate the y-intercept (c) by substituting the values into the equation in step 1
[tex]\begin{gathered} y=mx+c \\ 3=\frac{1}{4}(4)+c \\ 3=1+c \\ 3-1+c \\ c=2 \end{gathered}[/tex]Step 4: Write the equation of the line
[tex]\begin{gathered} y=mx+c \\ y=\frac{1}{4}(x)+2 \\ y=\frac{x}{4}+2 \end{gathered}[/tex]Hence, the equation of the line is:
[tex]y=\frac{x}{4}+2[/tex]