Answer
Slope-intercept Form: $y=-\dfrac{1}{2}x+4$
Standard Form: $x+2y=8$
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}{2}
\text{ and }
b=4
,$ is
\begin{align*}
y=-\dfrac{1}{2}x+4
\end{align*}
In the form $Ax+By=C$ or the Standard Form of Linear Equations, the equation above is equivalent to
\begin{align*}
2(y)&=\left(-\dfrac{1}{2}x+4\right)2
\\\\
2y&=-x+8
\\
x+2y&=8
\end{align*}
