Question

Which table represents linear function?

Answer 1

Answer:

does not represent a linear function.

Step-by-step explanation:

For the function to be linear, the slope must be the same for every poknt along the function. If is not, then is not a linear function.

Let us now calculate the slope;

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

We shall take the first two points

$m = \frac{4 - 2}{2 - 1} \\ m = \frac{2}{1} \\ m = 2$

Next we shall take the 2nd and 3rd points

$m = \frac{8 - 4}{3 - 2} \\ m = \frac{4}{1} \\ m = 4$

The slope is not the same for these two different point, hence this table does not represent a linear function.