The linear function that gives the rule for the table is: y = -8x + 2.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, when x = 0, y = 2, hence the y-intercept is of b = 2. When x increases by 1, y decreases by -8, hence the slope is of m = -8, and the rule is given by:
y = -8x + 2.
More can be learned about linear functions at brainly.com/question/24808124
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