The slope = 3
Explanations:The slope of a line when given the points (x₁, y₁) and (x₂, y₂) is calculated using the formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]The line passes through the points (1, -5) and (3, 1)
This means that x₁ = 1, y₁ = -5, x₂ = 3, y₂ = 1
Substitute these points into the slope formula:
[tex]\begin{gathered} m\text{ = }\frac{1-(-5)}{3-1} \\ m\text{ = }\frac{1+5}{2} \\ m\text{ = }\frac{6}{2} \\ m\text{ = 3} \end{gathered}[/tex]