Answer:
[tex]-\frac{4}{9}[/tex]
Step-by-step explanation:
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's say (5,-1) is [tex](x_2,y_2)[/tex] and (-4,3) is [tex](x_1,y_1)[/tex]
Let's substitute the slope formula.
[tex]\frac{-1-3}{5-(-4)} =\frac{-4}{5+4} =\frac{-4}{9}[/tex]= [tex]-\frac{4}{9}[/tex]
The slope is [tex]-\frac{4}{9}[/tex]
Hope this helps :)
Have a great day!