Which function below has the smallest slope?

f (x)

f (x) = 5x - 4

g (x)

graph going through (0, 1) and (2, 5)

h (x)

x h (x)

1 14

4 15

7 16

F (x) = 5x - 4 ... slope is 5

g (x) : (0,1) (2,5)

slope = (5 - 1) / (2 - 0) = 4/2 = 2 ... slope is 2

h (x) : (1,14) (4,15)

slope = (15 - 14) / (4 - 1) = 1/3 ... slope = 1/3

so the smallest slope would be : h (x) with a slope of 1/3