Sangeetha Pulapaka
0

Recall what is a linear function

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First find m. Look at the table and notice that every time the x terms go up by 1, the y terms go up by 1. This means that m is equal to 1.

Next find b. Take the equation y = mx + b and plug in the m value (m = 1) and a pair of (xy) coordinates from the table, such as (4, 1). Then solve for b.


y = mx + b

1 = 1(4) + b

1 = 4 + b

-3 = b


Finally, use the m and b values you found (m = 1 and b = -3) to write the equation.


y = mx + b

y = 1x + -3

y = x − 3


So, the linear function is y = f(x) = x -3



https://www.ck12.org/algebra/function-rules-for-input-output-tables/lesson/Function-Rules-for-Input-Output-Tables-MSM6/