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.
[tex](x_1, y_1)[/tex] represents the first point whereas [tex](x_2, y_2)[/tex] represents the second point then the formula of slope is given by:
m= [tex]\frac{y_2 -y_1}{x_2-x_1}[/tex]
From the table;
Let [tex](x_1, y_1)[/tex] = ( -4 , -2) and [tex](x_2, y_2)[/tex] = (-2 , -10)
then,
by definition of slope we have;
m= [tex]\frac{y_2 -y_1}{x_2-x_1}[/tex] = [tex]\frac{-10-(-2)}{-2-(-4)}[/tex]=[tex]\frac{-10+2}{-2+4} =\frac{-8}{2} = -4[/tex]
Therefore, the slope of the function, m = -4
