Write the rule for the linear function. Remember a function rule is written using f(x)

The rule for the linear function will be:

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points from the table to determine the slope

Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

adding 3 to both sides

or

Therefore, the rule for the linear function will be: