Question

the table shows a function. is the function linear?
linear
nonlinear

Explanation:

Step1: Find x differences

$\Delta x_1 = 0 - (-2) = 2$, $\Delta x_2 = 2 - 0 = 2$

Step2: Find y differences

$\Delta y_1 = 10 - 18 = -8$, $\Delta y_2 = 2 - 10 = -8$

Step3: Check constant slope

Slope 1: $\frac{\Delta y_1}{\Delta x_1} = \frac{-8}{2} = -4$
Slope 2: $\frac{\Delta y_2}{\Delta x_2} = \frac{-8}{2} = -4$

Answer:

linear