Question

http://prntscr.com/n7im00

Answer 1

@Vocaloid

Answer 2

@Hero

Answer 3

Use the formula, Nicole


\(\sf\Large Slope = \frac{\color{blue}{y_2}-\color{red}{y_1}}{\color{green}{x_2}-\color{purple}{x_1}}\)

Where the two points are in the form:

\(\sf\Large (\color{purple}{x_1},\color{red}{y_1})~and~(\color{green}{x_2},\color{blue}{y_2})\)

Answer 4

How can I determine those?

Answer 5

Do you know how to determine a point from a graph?

The x-coordinate and the y-coordinate?

Answer 6

Yes

Answer 7

(-2, 5)

Answer 8

Good! Now find another point

Answer 9

(-1,2)

Answer 10

(0,-1)

Answer 11

(1,-4)

Answer 12

those are all the point correct?

Answer 13

@TheSmartOne

Answer 14

Yes! Good

We only need two points to find the slope

As a review, a line is made up of multiple points right? But the minimum number of points we need to make a line is 2.

If we have two dots, we can draw a line through it

So let's choose 2 of the points
(-2. 5) and (0, -1)

We have to plug it in to the formula

we could also do rise/run formula if you prefer that or the formula that I posted earlier

Answer 15

so (-2,0) and (5,-1)

Answer 16

thats how the formula would be^

Answer 17

Well now

Our points are

(-2, 5) and (0, -1)

Points are written in the (x, y) form

so (-2, 5)
-2 is x
5 is y

(0, -1)
since we have x and y again but we don't want to confuse the coordinates, we just add a little number to say that this is an x-coordinate but for another point so like \( x_1\) = 0 and \( y_1 = -1\)

Answer 18

and then you have to do

(y1 - y)/(x1- x) = slope

Answer 19

so (-1-5) / (0-(-2)

Answer 20

yes, now simplify it

Answer 21

-3

Answer 22

so A

Answer 23

Correct!

Answer 24

Oof finally okay lmao

http://prntscr.com/n7iz9r

Answer 25

Find the slope like we just did

They want the equation of the line in the form of
y = mx + b

where m is the slope and b is the y-intercept.
The y-intercept is the point where the line crosses the y-axis. Essentially it's (0, y)

Answer 26

so first do the exact same thing we did before?

Answer 27

Yes! Find two points and then find the slope

Answer 28

(0,1)
(1,1)
(0,-2)
(2,4)

Answer 29

We only need 2

Answer 30

so (0,-2)(2,4)

Answer 31

Now subtract the y-intercepts and the x-intercepts
and find the slope

Answer 32

(0-2) / (-2-4)

Answer 33

which is 1/3

Answer 34

so the slope is 1/3

Answer 35

that'x x-coordinates over y-coordinate

it has to be y-coordinate over x-coordinate

change in y/ change in x

\(\Delta y\)/ \(\Delta \)x

Answer 36

so like (-2-4) / (0-2)

Answer 37

Exactly!

Answer 38

So the slope is 3

Answer 39

so y=3x-2 ?

which is C?

Answer 40

yes!!

Answer 41

http://prntscr.com/n7j6h4
is this right?

Answer 42

Yes!

Answer 43

What grade are you in Nicole

Answer 44

Or are you doing your little cousin's hw like John does all the time lool

Answer 45

This is Algebra 2. No lmao I have to finish this course for high school because I need to fill in all the requirements. And I didnt do Algebra 2. And since im doing homeschool so

Answer 46

Im doing it rn

Answer 47

Ahh makes sense, this is actually more Algebra 1 so good luck!

Answer 48

Its actually an Algebra 2 course Dragon Ball

Answer 49

"dragon ball"

lmao*

Answer 50

I actually googled it because I was like wot

Answer 51

Oh same thats why I needed help loll

is this right? http://prntscr.com/n7j8rb

Answer 52

Yup!

Answer 53

http://prntscr.com/n7ja94

Answer 54

uh-oh

Answer 55

What lol?

Answer 56

compulsory try again

Answer 57

Well its obvious that its true now loll