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.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let us find slope of line using points [tex](-20,96)[/tex] and [tex](-2,15)[/tex].
[tex]m=\frac{15-96}{-2-(-20)}[/tex]
[tex]m=\frac{-81}{-2+20}[/tex]
[tex]m=\frac{-81}{18}[/tex]
[tex]m=-4.5[/tex]
Therefore, the rate of change of y with respect to x is [tex]-4.5[/tex].
