Answer:
This table represents a non-proportional relationship.
Explanation:
The equation of the line would be
y = x + 6
The slope is 1. That is the change in y over the change in x. As y changes by 1, the x also changes by 1. 1/1 = 1.
The y-intercept is 6.
We find this by using the slope of 1 and one point that is on the line. I will use the point (3,9). I will use 9 for y and 3 for x and 1 for m.
y = mx + b
9 = 1(3) +b
9 = 3 + b Subtract 3 from both sides
6 = b
y = mx = b Substitute in 1 for the slope and 6 for the y-intercept
y = 1x + 6 (1 times x is the 1x or just x.)
y = x + 6
When a line is proportional it will be in the form
y = mx and not y = mx + b For a line to proportional the b needs to be zero and it is not zero in this case, the y-intercept is 6.
Helping in the name of Jesus.