Respuesta :

Answer:

We conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

  • [tex]m = 0[/tex]

Step-by-step explanation:

Given that the line includes the points

  • (0, -2)
  • (3, -2)

We need to find the slope of the line containing the points between (0, -2) and (3, -2) using the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

  • (x₁, y₁) = (0, -2)
  • (x₂, y₂) = (3, -2)

now substituting (x₁, y₁) = (0, -2) and (x₂, y₂) = (3, -2) in the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-2-\left(-2\right)}{3-0}[/tex]

[tex]m=\frac{-2+2}{3}[/tex]

[tex]m=\frac{0}{3}[/tex]

[tex]m = 0[/tex]

Therefore, we conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

  • [tex]m = 0[/tex]