Answer:
It is a linear function because there is a constant rate of change in both the input and output values
Step-by-step explanation:
To determine if the function is linear, calculate the differences between the y values.
If the differences are constant, or the same value, the equation is linear and has a constant slope. If the differences are not the same, the equation is not linear.
difference between y values (output)
7 - 4 = 3
3 - 1 = 3
1 - -2 = 3
⇒ the function is linear
difference between x values (input)
-2 - -5 = 3
-5 - -8 = 3
-8 - -11 = 3
⇒ the function is linear as there is a constant rate of change in both the input and output values
