Question

The table represents a linear function.

Answer 1

For this case, what we must do is find the average rate of change in any interval.

Since the function is linear, then this value is constant in any interval.

The average rate represents the slope of the line.

We have then:

$m =\frac{y2-y1}{x2-x1}$

Substituting values we have:

$m = \frac{-26 - (- 22)}{2-1}$

$m = \frac{-26 + 22}{2-1}$

$m =\frac{-4}{1} \\m = -4$

Answer:

The slope of the line is:

$m = -4$

option 2

Answer 2

The slope of the function is -4.