what is the slope of the line?

Answer:
[tex]-\frac{8}{5}[/tex]
Step-by-step explanation:
The coordinates of the top black point are (-1, 4). The coordinates of the bottom black point are (4, -4).
You can work out the slope by dividing the difference in both y-coordinates by the difference in both x-coordinates:
[tex]\frac{4-(-4)}{-1-4} =\frac{8}{-5}=-\frac{8}{5}[/tex]