Respuesta :

Answer:

The slope will be:

  • [tex]m=-\frac{5}{4}[/tex]

Step-by-step explanation:

Taking two points from the table

  • (0, -1)
  • (-4, 4)

Finding the slope between the points

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

[tex]\left(x_1,\:y_1\right)=\left(0,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-4,\:4\right)[/tex]

[tex]m=\frac{4-\left(-1\right)}{-4-0}[/tex]

[tex]m=-\frac{5}{4}[/tex]

Thus, the slope will be:

  • [tex]m=-\frac{5}{4}[/tex]