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Find the function rule.

[x| - 2| - 1| 0| 1| 2]

[y| 9| 4| - 1| - 6| - 11]

y = - 5x - 1

Step-by-step explanation:

Successive values of x are 1 greater than the value before.

Successive values of y are 5 less than the value before. Since all the y-differences are the same, the function is linear. It has a slope of - 5/1 = - 5.

The y-intercept of the linear function is the y-value where x=0: y = - 1.

So, the linear function rule in slope-intercept form is ...

y = - 5x - 1