The equation is given in the form:
[tex]y=\frac{8-x}{3}[/tex]This can be re-arranged to the form y = mx + b, shown below:
[tex]\begin{gathered} y=\frac{8-x}{3} \\ y=\frac{8}{3}-\frac{x}{3} \\ y=-\frac{x}{3}+\frac{8}{3} \\ y=-\frac{1}{3}x+\frac{8}{3} \end{gathered}[/tex]It's in the form y = mx + b, where m is the slope.
Thus, comparing this line with slope-intercept form (y = mx + b) of a line, we can say that the slope of this line is:
[tex]-\frac{1}{3}[/tex]