The points on the graph is given as
[tex](5,8),\text{ }(-2,9)[/tex]To determine the slope of the graph , use the slope formula.
[tex]m=\frac{y_2-y_1^{}}{x_2-x_1_{}_{}}[/tex]Substitute the values in the slope formula.
[tex]m=\frac{9-8}{-2-5}[/tex][tex]m=\frac{1}{-7}[/tex]Thus the slope of the graph is -0.142857.