Answer:
y = 2x + 3
Step-by-step explanation:
We need to find m and b
Let's input the first 2 points (3, 9) and (5, 13) into y = mx + b
9 = m*3 + b
13 = m*5 + b
subtract the first from the second
13 - 9 = m*5 + b - (m*3 + b)
4 = m*2
m = 2
Now let's input m = 2 into 9 = m*3 + b
9 = 2*3 + b
9 = 6 + b
3 = b
So the final relationship is y = 2x + 3
We can verify that the other two points (8, 19) and (11, 25) also conform to this relationship.
