Question

What is the average rate of change from x = 1 to x = 3?

Answer 1

@jhonyy9

Answer 2

do you know what is an average rate of change ?

@AZ

Answer 3

average rate of change is the slope

Answer 4

What class are you taking? @KpopAsianDramaFanYT

Are you in calculus or an algebra class?

Answer 5

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
What class are you taking? @KpopAsianDramaFanYT

Are you in calculus or an algebra class?
\(\color{#0cbb34}{\text{End of Quote}}\)

Algebra 2

Answer 6

We learned this in algebra 2, ik my comment probably wasn't necassary

Answer 7

so we won't pull out the big boy guns to solve this

they just want us to find the slope between (1, -3) and (3, 1)

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
average rate of change is the slope
\(\color{#0cbb34}{\text{End of Quote}}\)

I Kow that but it is confusing

Answer 9

\(\text{Slope} = \dfrac{y_2 - y_1}{x_2-x_1}\)

where you have two points
\(\Large (x_1, y_1)\) and \(\Large (x_2, y_2)\)

Answer 10

I think i got it now

Answer 11

I'll throw in colors for you

\(\Large\text{Slope} = \dfrac{\color{green}{y_2} - \color{orange}{y_1}}{\color{blue}{x_2}-\color{red}{x_1}}\)

where you have two points
\(\Large (\color{red}{x_1}, \color{orange}{y_1})\) and \(\Large (\color{blue}{x_2}, \color{green}{y_2})\)

So you're two points are

\((\color{red}{1}, \color{orange}{-3})\) and \((\color{blue}{3}, \color{green}{1})\)

Answer 12

you can use the colors to see where you're supposed to plug in the numbers

Answer 13

THX

Answer 14

You're welcome!

Answer 15

\(\color{#0cbb34}{\text{Originally Posted by}}\) @KpopAsianDramaFanYT
\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
What class are you taking? @KpopAsianDramaFanYT

Are you in calculus or an algebra class?
\(\color{#0cbb34}{\text{End of Quote}}\)

I'm in 8th grade and taking algebra 2

Answer 16

Got it. Let me know if you want me to check your answer :)

Answer 17

k

Answer 18

is this correct?:
Slope = 1 - (-3) / 3−1
Slope = 4/2
Slope = 2

Answer 19

That is absolutely correct!

Answer 20

THX

Answer 21

It was my pleasure!