Write the equation for the following relation. A={ (x, y) : (1,2), (2,5), (3,8), ... }

I just tried working this one out and I can't find the answer. Maybe nothing further can be determined that I know so far.

y = 3x - 1

Step-by-step explanation:

Given the data set: (1, 2) (2, 5) and (3, 8), you first need to look for a constant difference in the values of x and y:

x: 1 2 3 (add '1' each time)

y: 2 5 8 (add '3' each time)

Rate of change (slope) can be found by dividing y/x:

3/1 = 3

Since y = 2 when x = 1, then y = - 1 when x = 0.

Using slope-intercept formula: y mx + b

y = 3x - 1