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