Write a function rule for the input output table input x - 2, - 1, 0, 1 output y 13, 14, 15, 16

y = x+15

Step-by-step explanation:

x-values increase by 1, as do y-values. The ratio of increases is Δy/Δx = 1/1 = 1. This is the slope (m) that is needed in the function rule.

The y-value is 15 for an x-value of 0, so we can use 15 as the y-intercept (b) in the function rule.

In slope-intercept form, the function rule is ...

y = mx + b

y = x + 15