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Here are the four functions:

give me answer chice

It's an essay question, not multiple choice

idk

for h(x) line is increasing or decreasing ?

decreasing

It's starting at the five and going over 1 and down 2. I don't know how to write that though.

so what does it means ?

slope would be what ?

1/2?

nope if line is decreasing then slope would be negative

Oh yeah, so it'd be -1/2?

yes

nope 2 is right
slope is rise over run = 2/1 =2 it's decreasing so would be negative

Oh okay. So the function would be h(x) = 5x - 2?

hmm y-intercept is a point where line intersect y-axis
y=mx+b where m is slope b is y-intercept

y = mx + b
sooo
h(x) = -2x + 5

yes right

Okay, thank you. Now what about the g(x) function. Did I get that equation right?

nope slope and y-intercept both are wrong try again show ur work so i can find out the mistakes :=)

x isn't increasing by 4
would you add 4 with -2 to get 2 ?

Yes... -2 + 4 = 2 then 2 + 4 is 6

Even my calculator says that -2 + 4 is 2

hmm that's not a good way to find slope
you should use slope formula

y-intercept isn't 8

g(x) is increasing by -8 though. -1 - 8 = -9 and -9 - 8 = -17

that's not right
slope isn't 4
use the slope formula \[\huge\rm \frac{ y_2 -y_1 }{ x_2 -x_2 }\]

wait a sec
i see

I don't have coordinates so I can't use that formula.

that's the difference of y's and x's
y's =-8
x's = 4

so replace y_2 -y_1 = -8
and x_2 - x_1 =4
that would give you slope

I don't understand what you're telling me to do.

|dw:1441982763195:dw|
coordinates

you can use the table to find slope
(-2 ,-1)(2,-9)(6,-17) are coordinates

Oh! Okay so... y2 - y1 / x2 - 1
-9 - (-1) / 2 - (-2) = -8 / 4
simplified would be... -2

So -2 is my slope?

yes right

Now how do I figure out my y-inercept? Do I just use -8? So my function would be:
g(x) = -2x - 8

nope
use on of the order pair (x,y) plug that into the equation y =-2x+b

one*

So my function is g(x) = -2x - 5, right?

looks good

Omg, thank you so much!!! You are the best

yw good work!

Do you mind checking a question for me? I already did it but I'm not sure if it's right.