#### Answer

$m=-\dfrac{7}{4}$

#### Work Step by Step

Through $(5,-4)$ and $(1,3)$
The slope of a line is given by $m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$, where $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are points through which the line passes.
Substitute the points given into the formula and evaluate:
$m=\dfrac{3-(-4)}{1-5}=\dfrac{3+4}{1-5}=\dfrac{7}{-4}=-\dfrac{7}{4}$