1. Does the table below show a proportional relationship? If so, what is the constant of proportionality?

x y

1 6

2 7

3 8

5 10

It shows a linear non-proportional relationship meaning there is a y-intercept meaning it is not proportional. The y-intercept is 5 since the slope is x, (1) so subtracting 1 from 6 we get 5 and 1-1=0. (x, y) (0,5). Your y-intercept is when X is zero, it is where the line cuts the y-axis. From there is increases by 1 for both x and y. For 4 it would be 9 (4,9).

The equation is,

Y=mx+b = = > m=slope b = y-intercept

Y = x+5 or

Y=1x+5