Answer
Slope-intercept Form: $y=\dfrac{1}{4}x+11$
Standard Form: $x-4y=-44$
Work Step by Step
Using $y=mx+b$ or the Slope-Intercept Form of linear equations, where $m$ is the slope and $b$ is the $y$-intercept, the equation of the line, given $
m=\dfrac{1}{4}
\text{ and }
b=11
,$ is
\begin{align*}
y=\dfrac{1}{4}x+11
\end{align*}
In the form $Ax+By=C$ or the Standard Form of Linear Equations, the equation above is equivalent to
\begin{align*}
4(y)&=\left( \dfrac{1}{4}x+11 \right)4
\\\\
4y&=x+44
\\
-x+4y&=44
\\
-1(-x+4y)&=(44)(-1)
\\
x-4y&=-44
\end{align*}
