### Home > MC2 > Chapter 6 > Lesson 6.1.4 > Problem6-37

6-37.

Consider the following table.

 $x$ $y$ $–3$ $0.5$ $0$ $2$ $4$ $–1$ $2.5$ $2$ $4$ $6$
1. What is the rule for the table?

Look at the first pair of numbers. What change do you notice from the $x$ to the $y$-value? Now look at the rest of the pairs of numbers. Do they follow the same pattern of change?

$y = x + 2$
Can you see why?

2. Explain your strategy for finding the rule for this table.

How did you find the rule for this table? Answers vary.
Did you compare two pairs of numbers and see if they both changed in the same way?