Respuesta :

a = (y-yo)/(x-xo)
a = (-10-(-2)) / (-2-(-4))
a = (-10+2) / (-2+4)
a = -8 /2
a = -4

Answer:  The correct option is (B) -4.

Step-by-step explanation:  Given that the table shown represents a linear function.

We are to find the slope of the function.

We know that

the slope of a linear function satisfying the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

From the table, we note that

the given linear function satisfy the points (-4, -2) and (-2, -10).

Therefore, the slope of the linear function will be

[tex]m=\dfrac{-10-(-2)}{-2-(-4)}=\dfrac{-8}{2}=-4.[/tex]

Thus, the required slope of the function is -4.

Option (B) is CORRECT.