Let's find the pattern that describes the relation between the dependent variable y and the independent variable x. Note that if we multiply the value of x by 5 and then add 2, we get the value of y. We can include this information in the given table.
x
Pattern
y
1
1( 5)+ 2
7
2
2( 5)+ 2
12
3
3( 5)+ 2
17
4
4( 5)+ 2
22
Now we want to write an equation to describe this relationship.
xtimes 5plus 2is equal toy
⇓
x( 5)+ 2=y
Finally, we can rearrange the equation by using the Commutative Property of Multiplication.
