Respuesta :

Answer:

Option (4)

Step-by-step explanation:

Let the input output values of the table are represented by the equation,

y = mx + b

Here m = rate

b = y-intercept

Since, at x = 0, y = -1 [Point given in the table]

y-intercept 'b' = 0

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

Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points given in the table.

If the points are (-2, -5) and (-1, -3),

Substitute the values in the formula,

Rate = [tex]\frac{(-5)-(-3)}{(-2)-(-1)}[/tex]

        = [tex]\frac{-5+3}{-2+1}[/tex]

        = 2

Therefore, Option (4) will be the answer.