Answer
Slope-intercept Form: $y=-6x+9$
Standard Form: $6x+y=9$
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=-6
\text{ and }
b=9
,$ is
\begin{align*}
y=-6x+9
\end{align*}
In the form $Ax+By=C$ or the Standard Form of Linear Equations, the equation above is equivalent to
\begin{align*}
6x+y&=9
\end{align*}