Exercise 4 Page 236

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. Finally, we can rearrange the equation by using the Commutative Property of Multiplication. The equation that describes the relationship between $y$ and $x$ is $y=5x+2.$