The slope of the line = -2/3
Explanation:The slope (m) of the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]For the points (4,4) and (-2,8):
x₁ = 4, y₁ = 4, x₂ = -2, y₂ = 8
Substitute these values into the slope formula
[tex]\begin{gathered} m\text{ = }\frac{8-4}{-2-4} \\ m\text{ = }\frac{4}{-6} \\ m\text{ = }\frac{-2}{3} \end{gathered}[/tex]The slope of the line = -2/3
