Question

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

x	y
6	15
10	6
14	0

options: linear, nonlinear

Explanation:

Step1: Find Δx between points

$10-6=4$, $14-10=4$

Step2: Find Δy between points

$6-15=-9$, $0-6=-6$

Step3: Check slope consistency

Slope 1: $\frac{-9}{4}=-2.25$, Slope 2: $\frac{-6}{4}=-1.5$

Step1: Calculate x differences

$10-6=4$, $14-10=4$

Step2: Calculate y differences

$6-15=-9$, $0-6=-6$

Step3: Compare slopes

Slope 1: $\frac{-9}{4}=-2.25$, Slope 2: $\frac{-6}{4}=-1.5$

Answer:

linear
Wait, correction: The slopes are not equal, so the function is nonlinear.