Answer
Point-Slope Form: $y+1=5(x-1)$
Standard Form: $5x-y=6$
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&=-1
,\\x_1&=1
,\\m&=5
,\end{align*}
is
\begin{align*}\require{cancel}
y-(-1)&=5(x-1)
&\text{or}& &y+1=5(x-1)
\end{align*}
In the form $Ax+By=C,$ the equation above is equivalent to
\begin{align*}
y+1&=5x-5
\\
-5x+y&=-5-1
\\
-5x+y&=-6
\\
-1(-5x+y)&=(-6)(-1)
\\
5x-y&=6
\end{align*}
