help please (explain it to me)

Question

anonymous · Answer

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

anonymous · Answer

attachment

anonymous · Answer

@ganeshie8  @phi ?

michele_laino · Answer

please note that:
slope of f(x) = 5

anonymous · Answer

yeah i know that because i remember the y = mx + b and the m is the slope and the 5 is m

anonymous · Answer

and i know the g(x) slope is 2 right?

michele_laino · Answer

ok!
now slope of g(x) is:
$$m=\frac{ y _{2}-y _{1} }{ x _{2} -x _{1}}$$
inserting coordinates of your points, we have:
$$m=\frac{ 5-1 }{ 2-0 }=2$$

michele_laino · Answer

again, slope of h(x), is, applying the same formula above:
$$m=\frac{ 15-14 }{ 4-1 }=\frac{ 1 }{ 3 }$$

anonymous · Answer

okay so i got that right but i guess idk the answer because idk the slope of h(X) 

h(x)

x	h(x)
1	14
4	15
7	16

anonymous · Answer

oh okay

anonymous · Answer

the smallest slope is h(x)? sine it's 1/3 and the others are whole numbers

michele_laino · Answer

yes!
so c., namely the third option

anonymous · Answer

thank you so much can i tag you on other question if i have some?

michele_laino · Answer

yes! sure!

michele_laino · Answer

thank you!

anonymous · Answer

np  and thank you!