Question

Identify the slope when given the points (1, -5) and (3, 1)

Answer 1

Answer:

The slope = 3

Explanations:

The slope of a line when given the points (x₁, y₁) and (x₂, y₂) is calculated using the formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

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:

`\begin{gathered} m\text{ = }(1-(-5))/(3-1) \\ m\text{ = }(1+5)/(2) \\ m\text{ = }(6)/(2) \\ m\text{ = 3} \end{gathered}`