Answer
The slope of the line is $-\frac{5}{4}$.
Work Step by Step
The given points are
$(x_1,y_1)=(-3,1)$ and $(x_2,y_2)=(1,-4)$
Slope
$\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}$
Substitute all the values.
$\Rightarrow m=\frac{-4-1}{1-(-3)}$
Simplify.
$\Rightarrow m=\frac{-5}{1+3}$
$\Rightarrow m=-\frac{5}{4}$
Hence, the slope of the line is $-\frac{5}{4}$.