Answer:
[tex]\large\boxed{m=-\dfrac{1}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the points (2, 3) and (4, 2). Substitute:
[tex]m=\dfrac{2-3}{4-2}=\dfrac{-1}{2}=-\dfrac{1}{2}[/tex]
Other method.
Look at the picture.
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
[tex]\Delta y=-1\\\\\Delta x=2[/tex]
Substitute:
[tex]m=\dfrac{-1}{2}=-\dfrac{1}{2}[/tex]
