Answer
Point-Slope Form: $y-0=-3(x-4)$
Standard Form: $3x+y=12$
Work Step by Step
Using $y-y_1=m(x-x_1)$ or the Point-Slope Form of linear equations, the equation of the line with the given conditions,
\begin{align*}\require{cancel}
y_1&=0
,\\x_1&=4
,\\m&=-3
,\end{align*}
is
\begin{align*}\require{cancel}
y-0=-3(x-4)
\\\\
\end{align*}
In the form $Ax+By=C,$ the equation above is equivalent to
\begin{align*}
y&=-3x+12
\\
3x+y&=12
\end{align*}
