Question

The table represents a linear function.

Answer 1

Answer:

Option B is correct.

The slope of the function is, -4

Step-by-step explanation:

The slope of a line is usually represented by the symbol m.

$(x_1, y_1)$ represents the first point whereas $(x_2, y_2)$ represents the second point then the formula of slope is given by:

m= $\frac{y_2 -y_1}{x_2-x_1}$

From the table;

Let $(x_1, y_1)$ = ( -4 , -2) and $(x_2, y_2)$ = (-2 , -10)

then,

by definition of slope we have;

m= $\frac{y_2 -y_1}{x_2-x_1}$ = $\frac{-10-(-2)}{-2-(-4)}$=$\frac{-10+2}{-2+4} =\frac{-8}{2} = -4$

Therefore, the slope of the function, m = -4

Answer 2

The answer to the question is -4

(-4,-2) (-2,-10)

(-10+2)/(-2+4)= -8/2= -4