Hello!
Find the coordinate where x = -1:
At x = -1, y = 1, so the coordinate is (-1, 1).
Find the coordinate where x = 2:
At x = 2, y = -2, so the coordinate is (2, -2).
Find the rate of change between the points using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the coordinates above:
[tex]slope = \frac{-2-1}{2-(-1)}[/tex]
Simplify:
[tex]slope = \frac{-3}{3} = -1[/tex]
Thus, the rate of change between the points is -1.
