Question

Which function below has the smallest slope?

1. f(x) = 5x − 4

2. (table)
x h(x)
1 14
4 15
7 16

(3 is in comments)

Answer 1

pls help

Answer 2

in the first your slope is 5 because the form of your equation is y=mx+b
where m/slope)=5 and b(intercept)=-4

Answer 3

ok wb the second one

Answer 4

2. Start by the equation of the line is y=mx+b
The problem gives you 3 situations
when x=1 then y=14
when x=4 then y=15
when x=7 then y=16
you could replace two points to find your equation,
14=m(1)+b
15=m(4)+b
solving this system of equations
m=1/3
b=41/3
and your equation is
y=x/3 + 41/3
you can prove it replacing the third point in the equation
but you only need the slope m=1/3

Answer 5

ohh ok i got it thank you !! what about the graph?

Answer 6

slope is rise/run
count the squares

Answer 7

ok so would the answer be the second function?

Answer 8

yes :)

Answer 9

thank u sm :)

Answer 10

you're welcome :)