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:

$m\text{ = }\frac{y_2-y_1}{x_2-x_1}$

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:

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