Respuesta :

Answer:

Option 4: [tex] \frac{-1}{2} [/tex]

Step-by-step explanation:

Slope of the line that runs through (-2, 1) and (2, -1):

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

Where,

[tex] (-2, 1) = (x_1, y_1) [/tex]

[tex] (2, -1) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] slope (m) = \frac{-1 - 1}{2 -(-2)} [/tex]

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

[tex] slope (m) = \frac{-1}{2} [/tex]