Answer :
We have to find the slope of a linear function that passes through the points (-2,-5) and (-1,-6).
For doing so, we will use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x₁,y₁) and (x₂,y₂) are two points of the line. Replacing we obtain that:
[tex]m=\frac{-6-(-5)}{-1-(-2)}=\frac{-6+5}{-1+2}=\frac{-1}{1}=-1[/tex]This means that the slope of the linear function is -1.