Respuesta :

Answer: [tex]m = \frac{10}{3}[/tex]

Step-by-step explanation:

Slope is calculated by the formula "

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]x_{1}[/tex] = -1

[tex]x_{2}[/tex] = -4

[tex]y_{1}[/tex] = -4

[tex]y_{2}[/tex] = -14

Substituting into the formula , we have :

[tex]m = \frac{-14-(-4)}{-4-(-1)}[/tex]

[tex]m = \frac{-14+4}{-4+1}[/tex]

[tex]m = \frac{-10}{-3}[/tex]

[tex]m = \frac{10}{3}[/tex]