Question

The table shows a linear relationship between x and y

Answer 1

We have been given a table that shows a linear relationship between x and y. We are asked to find the rate of change change of y with respect to x.

To solve our given problem, we will find the slope of the line passing through the given points.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let us find slope of line using points $(-20,96)$ and $(-2,15)$.

$m=\frac{15-96}{-2-(-20)}$

$m=\frac{-81}{-2+20}$

$m=\frac{-81}{18}$

$m=-4.5$

Therefore, the rate of change of y with respect to x is $-4.5$.