Answer:
A line passing through (1, 3) and (5, 11)
Rate of change = 2
Explanation:
- Rate of change = change in y / change in x
- r = Δy/Δx
Let's get the rate of change for each line:
A line passing through (-1, 4) and (1, 7).
- r = (7 - 4) / (1 -(-1)) = 3/2
A line passing through (1, 3) and (5, 11).
- r = (11 - 3) / (5 - 1) = 8/4 = 2
A line passing through (1, 1) and (4, -3).
- r = (- 3 - 1) / (4 - 1) = -4/3
A line passing through (0, 6) and (12, 9)
- r = (9 - 6) / (12 - 0) = 3/12 = 1/4
Comparing the values of r, we can see the greatest one is 2 for the line passing through (1, 3) and (5, 11)