Respuesta :

Answer: Second option.

Step-by-step explanation:

The slope of a line can be calculated with this formula:

 [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Then, you need to choose two points of the line shown in the graph and substitute them into the formula for calculate the slope:

Let's pick the points (-4,4) and (4,-2).

Substituting:

[tex]m=\frac{-2-4}{4-(-4)}[/tex]

Simplifiying,  you get that the slope of the line in the graph is:

[tex]m=\frac{-2-4}{4-(-4)}\\\\m=\frac{-6}{4+4}\\\\m=\frac{-6}{8}\\\\m=-\frac{3}{4}[/tex]