Question

Which function below has the smallest slope?


f(x)

f(x) = 2x - 3

g(x)

graph going through (0, negative 5) and (4, 3)

h(x)

x h(x)
-1 3
1 7
3 11
f(x)

g(x)

h(x)

The functions all have the same slope

Can someone pleaaase help me !!? i'm confused.
@Hero @mathstudent55 @UnkleRhaukus @Compassionate @nincompoop

Answer 1

@Whitemonsterbunny17 @Kainui

Answer 2

@mathstudent55 pleaaaase help me

Answer 3

f(x) = 2x - 3
This equation is in slope-intercept form, which is f(x) = mx + b, where m is the slope.
That shows you what the slope of f(x) is.

Answer 4

\(f(x) = \color{red}{2}x - 3b\)

\(y = \color{red}{m}x + b\)

The slope of f(x) is 2.

Answer 5

so i think h(x) would be the answer here?

Answer 6

Now let's look at g(x).
We are given two points on g(x), (0, -5) and (4, 3)
We can find the slope between those two points:

\(m = \dfrac{-5 - 3}{0 - 4} = \dfrac{-8}{-4} = 2\)

The slope of h(x) is also 2.

Answer 7

Sorry, above it should read "the slope of ___g(x)___ is also 2."

Answer 8

Now let's look at h(x)

Answer 9

ok lol i was confused..

Answer 10

Let's use two points on the graph to find the slope.

Answer 11

We can use (-1, 3) and (1, 7)

The slope is: \(\dfrac{3 - 7}{-1 - 1} = \dfrac{-4}{-2} = 2\)

The slope of h(x) is also 2.

All slopes are equal to 2.

Answer 12

thank you so much! @mathstudent55