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 - 4slope 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

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