Explain how to write a function rule from table below. Then write function rule.

(X) 2, 4, 6

(Y) 1, 0, - 1

y = (-1/2) x + 2.

The linear equation describing the given table is y = (-1/2) x + 2.

Step-by-step explanation:

Let's assume that this is a linear function.

As we go from x = 2 to x = 4, (an increase of 2), y goes from 1 to 0 (a decrease of - 1). Thus, the slope of the line is m = rise / run = - 1/2.

Borrowing info from the table: when x = 4, y = 0.

Thus, y = mx + b becomes 0 = (-1/2) (4) + b, so that b = 2.

The linear equation describing the given table is y = (-1/2) x + 2.