Question

Will Fan and give Medal

What is the linear function equation represented by the graph?

Answer 1

https://static.k12.com/nextgen_media/assets/8078845-NG_AL1_SemA_07_UT_05.png

Answer 2

4:1? Is it like a ratio I need a clearer response.

Answer 3

no it is not a ratio.

Answer 4

I'm doing Sequences and Modeling with Functions

Answer 5

Oh...

Answer 6

Pick two special points on the graph (whose coordinates are integers), please

Answer 7

it doesn't give me any integers, just that right there

Answer 8

Why not? on the graph, you have (-2,2) and (2,0)
Is it not that all of them integers?

Answer 9

well i just re-looked at it and i also see (6,-2 and -6,4)

Answer 10

Plenty of them there!! you can pick (-6,4) or (6,-2). They are special also

Answer 11

yup

Answer 12

Now, we need just 2 of them. I follow your points

Answer 13

What is slope-point formula?

Answer 14

y-y^1=m(x-x^1)

Answer 15

not sure if I'm right on that

Answer 16

not \(y^1\), it is \(y_1\)

Answer 17

yea that i don't know how to type it like that

Answer 18

So, we find m now. Ok?

Answer 19

\(m = ?\)

Answer 20

M would be the slope..right?

Answer 21

yup

Answer 22

ok let me see

Answer 23

so doing (-2,2) and (2,0) the slope would be -4/2 right?

Answer 24

\(m=\dfrac{\color{red}{y_2}-y_1}{\color{blue}{x_2}-x_1}\)

Your points \((x_1,y_1)=(-2,2)\), and \((\color{blue}{x_2},\color{red}{y_2})=(\color{blue}{2},\color{red}{0})\)

How can you have \(m =-\dfrac{4}{2}\) ?

Answer 25

redo, please

Answer 26

so -2/4 ?

Answer 27

yup, simplify to get -1/2, ok?

Now, pick one point, take that m, plug all in formula of a line above

\(y-y_1=m(x-x_1)\) and simplify

Answer 28

ok give me a min

Answer 29

so 0-2=-1/2 (2- (-2))