The slope of a line passing through the coordinates (x₁, y₁ ) and (x₂, y₂) is calculated using the formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]Since the line passes through the points (3, 8) and (-4,-2):
x₁ = 3, y₁= 8, x₂ = -4, y₂ = -2
The slope will therefore be:
[tex]\begin{gathered} m\text{ = }\frac{-2-8}{-4-3} \\ m\text{ = }\frac{-10}{-7} \\ m\text{ = }\frac{10}{7} \\ m\text{ = 1}\frac{3}{7} \end{gathered}[/tex]
