Answer
$m=\dfrac{y-y_1}{x-x_1}$
Work Step by Step
Dividing $x-x_1$ to both sides of the given expression, $
y-y_1=m(x-x_1)
,$ then,
\begin{array}{l}\require{cancel}
\dfrac{y-y_1}{x-x_1}=m
\\\\
m=\dfrac{y-y_1}{x-x_1}
.\end{array}
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