Answer:
-4
Step-by-step explanation:
With any 2 points of a function, we can calculate the slope dividing the "vertical change" by the "horizontal change".
That is, if our points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope (usually represented with the letter m) is [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Let's choose any 2 points of the table, for example (1,-22) and (2,-26).
The slope is [tex]m = \frac{-26-(-22)}{2-1} = \frac{-4}{1} = -4[/tex]
Let's see that we get the same slope if we choose other points, for example (-1,-14) and (-4,-2).
[tex]m = \frac{-2-(-14)}{-4-(-1)} = \frac{12}{-3} = -4[/tex]
Therefore, the slope of the function is -4.
