We should know the slope formula:
m=[tex] \frac{y2- y1}{x2-x1} [/tex]
Now plug in the points accordingly:
=[tex] \frac{-1-4}{1-(-4)} [/tex]
=[tex] \frac{-5}{5} [/tex]
It can be simplified further:
[tex] \frac{-5}{5} [/tex] = -1
Slope of the line that passes through (-4,4) and (1,-1) is -1