Answer:
We conclude that the slope between the slope of the line that passes through the points (-4, -1) and (-2, -5) is:
Step-by-step explanation:
Given the points
Using the slope formula to determine the slope between (-4, -1) and (-2, -5)
[tex]\:m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where [tex]m[/tex] is the slope between (x₁, y₁) and (x₂, y₂)
In our case,
substituting (x₁, y₁) = (-4, -1) and (x₂, y₂) = (-2, -5) in the slope-formula
[tex]\:m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-\left(-1\right)}{-2-\left(-4\right)}[/tex]
[tex]m=\frac{-4}{2}[/tex]
Refine
[tex]m=-2[/tex]
Therefore, the slope between the slope of the line that passes through the points (-4, -1) and (-2, -5) is:
