Question

Please answer

Fill in the missing numbers to complete the linear equation that gives the rule for this table.

y=___x -___

Answer 1

The rule for given function is: $f(x) = 14x-74$

Step-by-step explanation:

The general form of a linear function is:

$y= mx+b$

Here

m is the rate of change of function and b is the y intercept

Rate of change of function is given by:

$m = \frac{Change\ in\ y}{Change\ in\ x}\\m = \frac{-32-(-46)}{3-2}\\m = \frac{-32+46}{1}\\m = 14$

Putting the value of rate of change in the general form

$y = 14x + b$

to find the value of b, putting a pair of input and output in the function

Putting x=2 and y = -46

$-46 = 14(2)+b\\-46 = 28 +b\\b = -46-28\\b = -74$

Putting b=-74 in function

$y = 14x-74$

Replacing y with f(x)

$f(x) =14x-74$

The rule for given function is: $f(x) = 14x-74$

Keywords: Functions, linear function

Learn more about functions at:

• brainly.com/question/9214411
• brainly.com/question/9196410

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