We have been given that on a coordinate plane a line with negative slope passes through points [tex](0,1)[/tex] and [tex](1,-1)[/tex]. We are asked to find the rate of the change of the function.
We know that slope represents rate of change of function.
We will use slope formula to solve our given problem.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let [tex](x_1,y_1)=(0,1)[/tex] and [tex](x_2,y_2)=(1,-1)[/tex].
[tex]m=\frac{-1-1}{1-0}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Therefore, the rate of change of the given function is [tex]-2[/tex].