Task #1 Linear Relationships

Figure Number	Perimeter
1	3
2	4
3	5
4	6
5	7
6	8
7	9
8	10
9	11
10	12

This is a linear relationship because as the figure number increases the perimeter of the triangle train increases by one more. This is a characteristic of linear relationships. In order for it to be linear the change in the y-values must be a constant number. In this case the change is always one.

In order to graph this relationship I had to write the equation. I found the relationship to be linear so I used the slope-intercept form y=mx + b where m was the constant rate of change (1) and b was the y-intercept, where the whole graph started at (0,2). I came up with y=1x+2. The graph is linear because it is a straight line. You can see from one point to another the change between the y's and x's are constant.