ANSWER
-1/2
EXPLANATION
The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is,
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
In the graph, we can take any two points,
Find the slope using the points (0, 4) and (5, 3/2),
[tex]m=\frac{4-\frac{3}{2}}{0-5}=\frac{\frac{4\cdot2-3}{2}}{-5}=\frac{\frac{8-3}{2}}{-5}=\frac{\frac{5}{2}}{-5}=\frac{5}{-5\cdot2}=-\frac{1}{2}[/tex]
Hence, the slope is -1/2.
