Respuesta :

Answer:

The slope is:

[tex]m=-2[/tex]

Step-by-step explanation:

Given the points

  • (5, -11)
  • (-9, 17)

Finding the slope between the points using the formula

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

[tex]\left(x_1,\:y_1\right)=\left(5,\:-11\right),\:\left(x_2,\:y_2\right)=\left(-9,\:17\right)[/tex]

[tex]m=\frac{17-\left(-11\right)}{-9-5}[/tex]

[tex]m=-2[/tex]

Therefore, the slope is:

[tex]m=-2[/tex]

Thus, option A is true.