Question

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)

g(x)

h(x)

The functions all have the same slope

Answer 1

\[f(x) = 5x - 4 \] has slope \(5\) as it looks like \(y=mx+b\)

Answer 2

the slope through (0, 1) and (2, 5) is
\[\frac{5-1}{2-0}=\frac{4}{2}=2\]

Answer 3

the slope between \((1,14)\) and \((4,15)\) is
\[\frac{15-14}{4-1}=\frac{1}{3}\]

Answer 4

so \(f\) has slope \(5\), \(g\) has slope \(2\) and \(h\) has slope \(\frac{1}{3}\)

Answer 5

so its h

Answer 6

yup

Answer 7

Thank you so much!