Question

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Find the function rule.


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

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

Answer 1

y = -5x - 1

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