Answer
Slope-intercept Form: $y=3x-7$
Standard Form: $3x-y=7$
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=3
\text{ and }
b=-7
,$ is
\begin{align*}
y=3x-7
\end{align*}
In the form $Ax+By=C$ or the Standard Form of Linear Equations, the equation above is equivalent to
\begin{align*}
-3x+y&=-7
\\
-1(-3x+y)&=(-7)(-1)
\\
3x-y&=7
\end{align*}
