Answer:
[tex]m=-\frac{1}{3}[/tex]
Step-by-step explanation:
Step 1: Find two points on the graph
[tex](x_1, y_1) = (4, 0)[/tex]
[tex](x_2, y_2) = (1, 1)[/tex]
Step 2: Find the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{1 - 0}{1 - 4}[/tex]
[tex]m=\frac{1}{-3}[/tex]
[tex]m=-\frac{1}{3}[/tex]
Answer: [tex]m=-\frac{1}{3}[/tex]