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Input 1 2 3 4 output -8 -11 -14 -17 what is the rule

1 Answer

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Answer:

The function rule is:
y = -3x-5

Explanation:

Using the given input/output values, we can take two pairs of input-output values for finding the rule.

The function is a linear function as the input and output are changing linearly.

Required pairs are:

(1,-8) and (2, -11)

The general rule for linear function is:


y = mx+b

m is the slope of the function calculated using the formula


m = (y_2-y_1)/(x_2-x_1)

Putting the values


m = (-11+8)/(2-1)\\m = (-3)/(1)\\m = -3

Putting in equation


y = -3x+b

To find the value of b, putting (1,-8) in the equation


-8 = -3(1) +b\\-8 = -3+b\\-8+3 = b\\b = -5

Putting the values


y = -3x-5

Hence,

The function rule is:
y = -3x-5

User Rashid Iqbal
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