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

## Answers

The function rule is: [tex]y = -3x-5[/tex]

Step-by-step 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:

[tex]y = mx+b[/tex]

m is the slope of the function calculated using the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{-11+8}{2-1}\\m = \frac{-3}{1}\\m = -3[/tex]

Putting in equation

[tex]y = -3x+b[/tex]

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

[tex]-8 = -3(1) +b\\-8 = -3+b\\-8+3 = b\\b = -5[/tex]

Putting the values

[tex]y = -3x-5[/tex]

Hence,

The function rule is: [tex]y = -3x-5[/tex]

44

step-by-step explanation:

the answers are in the images, i received 100% on this assignment. hope this !