Question

What is the slope-intercept form of the function described by this table?
________________________
x 1 2 3 4
y 1 −2 −5 −8
________________________

y = ? x + ?

Answer 1

hi again

Answer 2

@KamiBug

Answer 3

@AlexandervonHumboldt2

Answer 4

so slope is (-2+5)/(1-1)=undefied slope
thats no a function
x=1

Answer 5

ok

Answer 6

@oncebeaten are you familiar with the slope formula?

Answer 7

y=mx+b

Answer 8

That is slope intercept form. Pick 2 coordinates you want to use to find the slope

Answer 9

(1,1) and (4,-8)

Answer 10

wait do you mean n=y2-y1/x2-x1

Answer 11

Ok, so we will use the formula \(\sf\dfrac{y_2-y_1}{x_2-x_1}\). The point 1, 1 is going to be \(\sf x_1,~y_1\). The point 4, -1 is going to be \(\sf x_2.~y_2\). Following me so far?

Answer 12

yeah

Answer 13

Ok, so can you substitute those numbers into the formula?

Answer 14

yea one sec

Answer 15

1-8/1-4

Answer 16

Ok, no problem. Take your time

Answer 17

Almost, and my mistake, I had -1 for \(\sf y_2\). It should have been -8.
\(\sf\dfrac{-8-1}{4-1}\)

Answer 18

oh oops

Answer 19

It's fine ^_^

Answer 20

ok so what now?

Answer 21

Ok so the slope is -9/3 which is equal to -3 right?
Now we need to find the y intercept

Answer 22

ok

Answer 23

So, to do that, you are going to take 1, 1 and add 3 to the y coordinate and subtract 1 from the x coordinate. Since we are going backwards on the x axis, we need to reverse the slope

Answer 24

so it would be -4?

Answer 25

Almost, the y-intercept would be 0, 4

Answer 26

so just 4 ok

Answer 27

Yep

Answer 28

Now, since slope-intercept form is y=mx+b where m is the slope and b is the y-intercept, can you plug the numbers in?

Answer 29

y=-3x+4

Answer 30

Yep!

Answer 31

Thank You!

Answer 32

\(\LARGE\cal\color{#ff0074}{No~Problem!}\\\bbox [10pt, #00ffab,border:5pt solid blue ]{\color{#872AF0}{\huge\cal ~\heartsuit user2\heartsuit}}\)

Answer 33

lol

Answer 34

Did that all make sense to you?

Answer 35

yeah after i read it a couple times. :)

Answer 36

Ok, just making sure ^_^

Answer 37

If you have any more questions, feel free to tag me.

Answer 38

how did you do the fraction signs i know it has to do something with alt and shift

Answer 39

I will

Answer 40

`\(\sf\dfrac{-8-1}{4-1}\)`
numerator \(\uparrow\) \(\uparrow\) denominator

Answer 41

does that work on a mac?

Answer 42

Yep, I am using a mac

Answer 43

me too

Answer 44

You can also use the equation button

Answer 45

what equation button?

Answer 46

the blue "Equation" button underneath the comment box :)

Answer 47

Thanks!

Answer 48

http://prntscr.com/5neqh9

Answer 49

Thanks