Question

What is the rule for that​

Answer 1

• y = -x + 5

Explanation:

From the table we see that:

• 1. It is linear relationship as the difference in values change in linear increment
• 2. Rate of change is - 1 as y-values drop by 1 unit
• 3. y-intercept is 5 as per the first row (0, 5)

Considering the above observations we can put equation:

• y = - x + 5

Answer 2

The constant rule being followed is that the sum of x and y in every case is 5

Since the sum of x and y is 5, we can say that the value of y is 5-x

So we can define a function for this rule:

f(x) = 5 - x