Answer:
The relationship is linear; y – 5 = 5/4*(x – 1)
Step-by-step explanation:
We have been given the following data set;
x: 1, 5, 9, 13
y: 5, 10, 15, 20
The values of x increase by 4 while those of y increase by 5. This would imply that the average rate of change between any pair of points is a constant and thus the relationship exhibited by the data is linear.
The average rate of change is equivalent to the slope;
(change in y) / (change in x)
Using the first two pair of points we have;
(10-5) / ( 5-1) = 5/4
The point-slope form of equation of the line is thus;
y - 5 = 5/4 (x - 1)
