Answer
$y-7=-8(x-3)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Point-Slope form of linear equations to find the equation of the line with the given characteristics:
\begin{array}{l}\require{cancel}
\text{slope: }
-8
\\\text{Through }
(3,7)
.\end{array}
$\bf{\text{Solution Details:}}$
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{array}{l}\require{cancel}
y_1=7
,\\x_1=3
,\\m=-8
,\end{array}
is
\begin{array}{l}\require{cancel}
y-y_1=m(x-x_1)
\\\\
y-7=-8(x-3)
.\end{array}
