In order to find the slope of the a line that connects the given points, use the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x1,y1) and (x2,y2) are the given points.
Replace the following coordinates in the formula for m:
(x1,y1) = (5,-1)
(x2,y2) = (8,-6)
[tex]m=\frac{-6-(-1)}{8-5}=\frac{-6+1}{3}=\frac{-5}{3}=-\frac{5}{3}[/tex]
Hence, the slope is -5/3