## Linear Relationships

Finding the rule by looking for patterns

If a relationship between two variables is known to be linear, then the rule for this relationship can be found by looking for patterns using the following steps:

Step 1: Find the multiplication factor, which is how much the y value changed for every +1 of the x.

Step 2: Replace the multiplication factor "

Step 3: Substitute a coordinate into this equation to solve for

Step 1: Find the multiplication factor, which is how much the y value changed for every +1 of the x.

Step 2: Replace the multiplication factor "

*m*" into*y=mx+c*.Step 3: Substitute a coordinate into this equation to solve for

*c*.