The given set of values :
(x, y) = ( -2, -3), ( -1, 0), (0, 3), (1, 6)
The expression for the rate pf change is :
[tex]\text{ rate of change=}\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute any two coordinates from the given set of values : ( -2, -3) & ( -1, 0)
[tex]\begin{gathered} \text{ rate of change=}\frac{y_2-y_1}{x_2-x_1} \\ \text{Rate of change=}\frac{0-(-3)}{-1-(-2)} \\ \text{Rate of change=}\frac{3}{-1+2} \\ \text{Rate of change=}\frac{3}{1} \\ \text{Rate of change = 3} \end{gathered}[/tex]Rate of change for the given table is 3
Answer : Rate of change = 3
