most impossible

[jagged mesa]

which

[rapid tendon]

.

this is most accurate form

[jagged mesa]

ah yes

[rapid tendon]

id leave things in accurate form instead of rounding up

fractions are the most accurate form

for rational numbers

[jagged mesa]

alright

wait

nvm

so

[rapid tendon]

?

[jagged mesa]

for percent

[rapid tendon]

ye

[jagged mesa]

ye just do fraction

then

multi

by 100

alr

[hybrid saffron]

owowowowowoowow

[jagged mesa]

hi dark

[hybrid saffron]

yeah i will come back later

[jagged mesa]

alr lol

[hybrid saffron]

my phone is on 5%

[jagged mesa]

goodbye

dang

tty

alr so thats basically decimal and fraction

probability...

[rapid tendon]

for decimal or fraction TO percent

its x100

otherway round is /100

[jagged mesa]

yes

u can do probability right or

[rapid tendon]

i dont mind

i can do whatever

[jagged mesa]

alr

ill go get some on the thing then

[rapid tendon]

send questions too

[rapid tendon]

do some modelling questions on those to consolidate

[jagged mesa]

these are ez

i mean

this is eaasy*

easy*

[rapid tendon]

ye

[jagged mesa]

simple

[rapid tendon]

find something difficult

or i can make one if you want

[jagged mesa]

i think i understand this

ye

iill just lok through it first

[rapid tendon]

whats the probability of getting white on the second turn?

assuming the probability of getting each colour is equal

[jagged mesa]

oh

how do i find tht

WAIT

i know

multiply

[rapid tendon]

ofc

[jagged mesa]

1 in 3 right

lol

[rapid tendon]

now explain the steps to me

as if i dont know how to do it

[jagged mesa]

of

how to get the probability

on the 2nd try?

[rapid tendon]

of the answer you jus told me yes

[jagged mesa]

ok

so theres 3 you can get in total

red,white,blue

[rapid tendon]

yea

[jagged mesa]

and u want to get white

and u can only get one basically

so its a one in 3 chance

which is 1/3 as a fraction

[rapid tendon]

right answer, not quite how you get there though

[jagged mesa]

or 0.33

or 33%

o

how then

[rapid tendon]

sending my work

[rapid tendon]

@plush monolith

oops

wrong one

[rapid tendon]

do you understand this diagram first off

[jagged mesa]

yes

[hybrid saffron]

tree diagram

hallo!

[jagged mesa]

hi

yea

[rapid tendon]

hi dark

[jagged mesa]

doing probability

[rapid tendon]

what are the possibilities

of getting white on the 2nd turn

like

red white

il start you off

[hybrid saffron]

is that polar to cartesian

[rapid tendon]

thats one possibility

[rapid tendon]

someone asked for help simplifying

i sent the wrong thing here

[hybrid saffron]

ok

anyway you doing tree diagram?

[rapid tendon]

yee just probability

teaching

[hybrid saffron]

k

[rapid tendon]

@hybrid saffron

[rapid tendon]

.

[rapid tendon]

.

thats the question

[hybrid saffron]

you can do tree diagram or you can write it out

[rapid tendon]

what are the possibilities
of getting white on the 2nd turn
like
red white
il start you off
thats one possibility
@jagged mesa

[rapid tendon]

yee

i just drew it so its visual

[hybrid saffron]

k

[jagged mesa]

oh my bad (was doing the art thing

[jagged mesa]

alr

btw if i dont get this art thing done its due tomorrow i cant do my state exam for art this year LOL

[jagged mesa]

i know its 1/9

but

[rapid tendon]

incorrect

[jagged mesa]

oops

[rapid tendon]

lol

[jagged mesa]

that would be white and white

mb

LOL

[rapid tendon]

what are the possibilities of getting white on the second turn?

[jagged mesa]

1/3

[rapid tendon]

okay lets start with red and white

[jagged mesa]

alr

[rapid tendon]

to get to the second turn you have to go through the first turn right

what other possibilities of getting white 2nd are there?

[jagged mesa]

blue white

and white white

[rapid tendon]

perfect

(red and white) or (blue and white) or (white and white)

what is the possibility of red white

blue white

and white white

knowing P(A and B) is A*B

and P(x or y) is x+y

[jagged mesa]

wait

[rapid tendon]

you should probably work on that first then

[jagged mesa]

dw i can do both

[jagged mesa]

so 3x3?

[rapid tendon]

relate this formula

to

[rapid tendon]

this statement

(red and white) or (blue and white) or (white and white)

whats the possibility of getting red

[jagged mesa]

1/3

[rapid tendon]

1/3 right?

yes

and probability of getting white?

[jagged mesa]

1/3

[rapid tendon]

P(red and white)

is P(1/3 and 1/3)

which is 1/3 * 1/3

which is 1/9

[jagged mesa]

yea

[rapid tendon]

all of these and statements are 1/9 therefore

[jagged mesa]

i said 1/9 before tho and i thought u said it was wrong

yre

[jagged mesa]

yes&

yes*

[rapid tendon]

P(a or b) is a+b

so

1/3 + 1/3 + 1/3

which is?

[jagged mesa]

1/9

[rapid tendon]

i wanted the possibilities, not the answer

[jagged mesa]

oh

mb

[rapid tendon]

nuh uh

[jagged mesa]

huh

[rapid tendon]

a+a is 2a right

[jagged mesa]

yes

oh

[rapid tendon]

whats

1/3 + 1/3 + 1/3

[jagged mesa]

so 3/9?

[rapid tendon]

which is?

simplify

[jagged mesa]

1/3

[rapid tendon]

there

thats the answer

[jagged mesa]

ah ok

[rapid tendon]

you said 1/3 at the start

[jagged mesa]

see i was thiking 3/9

[rapid tendon]

but you didnt take into account

the different amount of possibilities

[jagged mesa]

yea but i didnt know u could add thee 1's

[rapid tendon]

ye

well try this one

this one might be too difficult so if you would like, i can go through easier questions first

its your choice

---

there is a 6 sided unfair dice
the chance of rolling an odd number is 0.4
the dice is rolled twice
what is the chance of rolling a 6 on the second turn?

[jagged mesa]

o

an odd number is half right

[rapid tendon]

hm?

[jagged mesa]

cuz even and odd

like

[hybrid saffron]

not in this case.

[jagged mesa]

oop

mb

lol

[hybrid saffron]

it’s a weighted dice

[jagged mesa]

yea its only 6

[rapid tendon]

think about the cases of odd numbers and even numbers

and the fact its unfair

[hybrid saffron]

i.e. the probabilities are not evenly distributed

[jagged mesa]

ohh

[rapid tendon]

dark if its okay il leave this one to you while i find a sweet flower in my game

[jagged mesa]

unfair

[hybrid saffron]

it states in the problem “the probability of getting a odd number is 0.4”

[rapid tendon]

0.4 btw

[jagged mesa]

it says 0.4

[hybrid saffron]

so, what do we know about evens?

oh

bruh

[jagged mesa]

well it depends which side its unfair for

but if i were to guess

well

not guess

0.6 for evens?

[hybrid saffron]

yes

[jagged mesa]

ok

so 0.2 to roll a 6

[hybrid saffron]

for 2 complementary events, the probability of them occurring always sum to 1

[rapid tendon]

remember what i said earlier

P(A or B) = A + B

a is odd

b is even

[jagged mesa]

oh

yea

so

[rapid tendon]

P(odd or even) = odd + even

[hybrid saffron]

+P(a and b)

[jagged mesa]

0.4 + 0.6

[rapid tendon]

they must together = one

[jagged mesa]

ye

[rapid tendon]

ya

[rapid tendon]

perf

[jagged mesa]

so

[neon echo]

What the fuck is going on in this thread, ping @honest folio

[jagged mesa]

find the total

[hybrid saffron]

don’t worry

[rapid tendon]

dont try and guess things, make sure you understand what is going on

[ebon sand]

Ah the 3200 thread

Lol

[hybrid saffron]

yeah

[jagged mesa]

yea i didnt mean guess lol

[rapid tendon]

damn theres 3200 messages

[hybrid saffron]

he likes to type short messages

[jagged mesa]

yes

[honest folio]

theyre discussing some probability or smth

idk

whats wrong though

[jagged mesa]

we went over multiple topics

[hybrid saffron]

only problem here was with corazon

this is like a 4 day long thread

dw about it

[honest folio]

lmao 3200 messages is wild

[hybrid saffron]

yeah

[rapid tendon]

we going thru the entire syllabus with this one

[honest folio]

anyways have fun

i dont see anything wrong here

[jagged mesa]

ty

[hybrid saffron]

alright

ttyl

[jagged mesa]

bye

[neon echo]

3200 is wild 💀 Help-threads should be single contained problems and discussion should have the discussions

[hybrid saffron]

i’m sending it in 5 mins

spam ping me if i don’t sent it

[rapid tendon]

i mean its still help

even if we are helping multiple topics

[jagged mesa]

"most impossible" doesnt mean one problem actually

[rapid tendon]

its not a discussion

[jagged mesa]

it could be many

[ebon sand]

Says who smh

[rapid tendon]

its literally helping

[honest folio]

yeah but it's not harming anyone is it

[hybrid saffron]

not valid here

it’s actually consolidated for OP

[honest folio]

who is the op

[jagged mesa]

my friend

[hybrid saffron]

khrushed/whoever posted this

[jagged mesa]

but i told him to make it

so basically me

[hybrid saffron]

anyway

we know complementary probability

[rapid tendon]

should we get back to the question

il resend it

[hybrid saffron]

now what you had was correct

[rapid tendon]

---

there is a 6 sided unfair dice
the chance of rolling an odd number is 0.4 in any turn
chance of even roll is 0.6 in any turn
the dice is rolled twice
what is the chance of rolling a 6 on the second turn?

[hybrid saffron]

0.2 for evens

[jagged mesa]

so 0.4+0.6

oh

ye

[rapid tendon]

known facts:
0.4 = odd
0.6 = even

[hybrid saffron]

it doesn’t necessarily state that it’s uneven for each number

therefore we can assume it’s evenly distributed and do the /3 thing

[rapid tendon]

lets assume that, this isnt like

difficult probability

il add that into the question

we just going over the basics rn

[jagged mesa]

ye

[jagged mesa]

/3 thing?

[rapid tendon]

i added it into the question so its 0.6, thats what i originally meant in the question mb

[hybrid saffron]

divided by 3

got a little lazy

[jagged mesa]

yea i was thinking that

but what are we dividing by 3

0.6?

[rapid tendon]

there

[hybrid saffron]

yeah

[jagged mesa]

oh yeah ok

[rapid tendon]

ignore that for now, i fixed the question

it now states that even is 0.6

[hybrid saffron]

wait wait wait

that is for one turn

[rapid tendon]

aaa il fix it for that too real quick then

[jagged mesa]

oh ye

we have to go over the possibilitys??

or

[rapid tendon]

---

there is a 6 sided unfair dice
the chance of rolling an odd number is 0.4 in any turn
chance of even roll is 0.6 in any turn
the dice is rolled twice
what is the chance of rolling a 6 on the second turn?

there

[hybrid saffron]

looool

[rapid tendon]

haha

so much to think about when making qs

[jagged mesa]

lol

[hybrid saffron]

okay, i’ll create a question as well, one that is more comprehensible

[rapid tendon]

make sure its unfair probability plz

we havent gone over that

[hybrid saffron]

Two weighted 8-sided die, where the probability of rolling an odd number is .25, are being rolled simultaneously. What is the probability of their sum being greater than 7?

This is a little bit trickier, and it requires some complimentary counting

[rapid tendon]

ye

[jagged mesa]

complimentary counting?

8 sided die = 1-8 right

.75 for an even number

[hybrid saffron]

i.e., counting the number of rolls that sums to less than 7.

[jagged mesa]

ok

[rapid tendon]

when you add the rolls together, the probability their addition is over 7

[hybrid saffron]

👍

[rapid tendon]

id first work the cases out for <7

or do >7 -1 or whatever it was

[hybrid saffron]

remember, this is the question.

[jagged mesa]

so i have to do all the outcomes

?

or

can i js multiply

[hybrid saffron]

like i said, complimentary counting.

let me solve it real quick.

[jagged mesa]

alr

[hybrid saffron]

oh, one more thing.

26 and 62 are distinct, i.e. order matters here.

[jagged mesa]

alr

[rapid tendon]

do yk how to change my roles btw?

i wanna get rid of some of them

[hybrid saffron]

wdym

[rapid tendon]

like i chose school grad by accident

when i first joined

im still in hs lol

[hybrid saffron]

if they were roles you chose you can go to the channels and roles channel

it’s below server guide and events

[rapid tendon]

i dont see thgose channels

can you # it for me plz?

id:customize

oh

nvm

tysm

[hybrid saffron]

lul

[rapid tendon]

oh nvm its fine

i just realised that i chose that role when i was a couple years ago

so its correct rn

nvm

[hybrid saffron]

yeah, do complimentary counting

work out all of the cases for <7 sum, then find their probability

[jagged mesa]

alr

[jagged mesa]

i find their probability

by adding

rigtht

r

or*

[hybrid saffron]

note that rolling an odd is .25

[jagged mesa]

like

(a+b)

ye

[rapid tendon]

P(a+b) is ab

[jagged mesa]

ye

mb

[hybrid saffron]

you multiply, since it’s simultaneous

[jagged mesa]

meant to put p lol

o alr

[rapid tendon]

oops

[hybrid saffron]

you add the individual probabilities together

[rapid tendon]

whyd i do that

[jagged mesa]

so find all the outcomes that add up to 7

[rapid tendon]

i meant to write a and b not a+b

[jagged mesa]

i eman

7 and under

[hybrid saffron]

i.e. for 1,1 you have 1/16 as the probability

[hybrid saffron]

👍

and remember, order matters.

[jagged mesa]

is there a fast way of doing it or

do i have to do like

oh yea

its distinct

so i can do like

1+2

[hybrid saffron]

nope.

[jagged mesa]

and 2+11?

i mean

[hybrid saffron]

yeah, those are 2 speerate cases

[jagged mesa]

2+1

1+2 and 2+1 are different

cuz seperate roles

alr

so

[hybrid saffron]

so 1,2 and 2,1 are seperate

[jagged mesa]

so 1-7+

thats 7 outcomes so far

then reverse other way around adds 6 more

so 13

then 2+3 2+4 2+5 and reverse adds 6

so 19

and 3+4 and 4+3 so 21

21 outcomes that add up to 7 and under

[rapid tendon]

the highest amount is 16

lowest is 7

right

[jagged mesa]

oh

[rapid tendon]

no it was a question

lol

[jagged mesa]

oh alr

ye

[rapid tendon]

im assuming greater than means it doesnt include 7

so its 8-16

ways to make 8

7+1
1+7

[hybrid saffron]

👍

[rapid tendon]

9:
7+2
2+7
8+1
1+8

if you do that for all the way to 16 thats all ur possibilities

[jagged mesa]

yes

but wait

how do u know the numbers u need to find the possibilitys for

[rapid tendon]

two 8 sided dice

so the total you could ever get is 16

right?

[hybrid saffron]

i would really recommend counting below seven first, then using complimentary

[rapid tendon]

im assuming by complimentary u mean -1 right

well

1- >7

is that right or

cuz idk what the word complimentary means here mb

[hybrid saffron]

and then, lets just say that an even distribution is across the numbers in even and odd

[hybrid saffron]

yes, 1-P(something)=P(not something)

[rapid tendon]

fair

[jagged mesa]

OH yea

[rapid tendon]

do darks way its faster

only if you understand though

understand the content dont blindly do it

[hybrid saffron]

pay attention to this as well.

[jagged mesa]

what does p stand for in this probability?

[rapid tendon]

P stands for the/a probability of

[hybrid saffron]

a probability of

[jagged mesa]

oh

ok so

one sec

so for complimentary counting what do we need

for everything

any sum in general

[hybrid saffron]

some even, and an event that occurs when the first event is not satisfied

e.g. when rolling an odd, a complimetary even is rolling an even.

[rapid tendon]

say

you had

probability of having a green light is 30%

then the probability of NOT having a green light (the complimentary) would be 70%

[jagged mesa]

lol im so cooked for the art thing

my drawings areso bad anyways

[jagged mesa]

"first event"

what does that mean

[hybrid saffron]

the original one

[rapid tendon]

in this example

green light 30% is the first event

[rapid tendon]

maybe shd do an easier example

[jagged mesa]

alr

wait

ig we can do whats on like one note for now

[rapid tendon]

go for it

send a question

dont look at the answers

[jagged mesa]

i think alot of the questions for probability are in the book

so we may have to do probability tomorrow

[rapid tendon]

thats fine

do you want a question quickly? or wanna rather do it tmr

[jagged mesa]

ill try a question

[rapid tendon]

this spinner is rigged

it will always output red 60% of the time

it will output blue 20% of the time on the first turn and 30% of the time on the second turn

a)what is the probability of the first turn being red followed by a blue in the second turn?

b)what is the probability of getting a white twice?

[jagged mesa]

so s soossosooso

100% is full obviously

60% is red

20% is blue and 20% is also white

[rapid tendon]

id draw a tree diagram or make a chart for first then second turn

[jagged mesa]

alr

so

red blue white

red red

red blue

red white

blue blue

blue white

blue red

white white

white red

white blue

a

im dumb i forgot what to do next

[rapid tendon]

.

it asks for red then blue

so what do you do?

P(red and blue)

[jagged mesa]

oh yea

add the probabilitys of red and blue

so

in fraction

or decimal actually

0.6 for red

0.2 for blue

so 0.8

4 is heron's formula

[rapid tendon]

thats ir

or*

[jagged mesa]

ty but they were all actually manipulation of formula

[rapid tendon]

p(a and b) = ab

whats herons formula used for?

[jagged mesa]

whats the context sinces theres over 5000 messages i aint reading allat

there was no context to go with it

thats why the op asked

[rapid tendon]

make c the subject

[jagged mesa]

i have no clue

[rapid tendon]

was the context

[rapid tendon]

@jagged mesa

[jagged mesa]

so multiply?

[rapid tendon]

yes

[hybrid saffron]

you're intruding into a flowing conversation.

[jagged mesa]

oh

so 0.6x0.2?

i mena

[rapid tendon]

yes

[jagged mesa]

alr

0.12

[rapid tendon]

and whats .6*.2?

yes

as a %?

[jagged mesa]

120%

oh so itts guaranteed

but

that should really be possible considering white still has a percent

fujisjfuidsjfs

[rapid tendon]

0.12 is not 120%

you will never get 120% in this kind of probability questions

[jagged mesa]

yes

hm

[rapid tendon]

its 12%

remember

0.12 = 12/100

[jagged mesa]

i was thinking that

but it seemed too low

[rapid tendon]

12/100 * 100 = percent

[jagged mesa]

1.2

[rapid tendon]

12 * 100/100 = 12

[jagged mesa]

12 * 1

[rapid tendon]

?

[jagged mesa]

alr

[rapid tendon]

clearly

[jagged mesa]

so 12% to get red on the first

then blue

i mean

blue on second*

[rapid tendon]

12% to get
red, blue

[jagged mesa]

alr

[rapid tendon]

P(red and blue) = 12%

[jagged mesa]

so

20% to get white on the first time

aka 0.2

[rapid tendon]

yes

[jagged mesa]

and on the second try

its 0.1

cuz blue gets a 0.1 increase

[rapid tendon]

ye

[jagged mesa]

so white loses

ok so

0.2x0.1

is js still 0.2 right

or

is it

[rapid tendon]

0.2*0.1= 2/10 * 1/10 = 2/100

so 0.02

[jagged mesa]

oh

so 2%

[rapid tendon]

perfect

c) what is the chance of getting red on the 2nd turn

now

the way you do this

is you find all possibilities with red second

and then you add them all together

[jagged mesa]

white,red

red,red

blue,red

[rapid tendon]

perf

[jagged mesa]

so 3

[rapid tendon]

now find white and red

red and red

blue and red

then add them all together

[jagged mesa]

the chance??

or

probability*

[rapid tendon]

find P(white and red)

same with red n red

blue n red

[jagged mesa]

ok

so

[rapid tendon]

and add their probability together

[jagged mesa]

0.2x0.6

0.12 = 12%

0.6x0.6

0.36 = 36%

and another 0.12 = 12%

alr

so

60

is the total

[rapid tendon]

is that your answer?

[jagged mesa]

yes

wel

es

yes*

[rapid tendon]

% sign

60%

u would lose a mark for not putting it on

[jagged mesa]

yea i wold of put 60% on a test

i said 60 being blunt tho cuz of the art thingy

so to find stuff for the 2nd event u add up all the possbilitys for it

probabilitys*

[rapid tendon]

ye

what is the possibility of having blue first?

in a two turn event as stated in the question

[jagged mesa]

mb

20%

oh

in a turn two event

on turn two its 30%

OH

..

[rapid tendon]

think about it

[jagged mesa]

u want me to find blue and blue?
or

[rapid tendon]

of having blue first

write possibilities of blue first

first

[jagged mesa]

blue blue

blue white

blue red

[rapid tendon]

perf

work from there

[jagged mesa]

i thought it already says the probabiltiy of it tho

[jagged mesa]

.

[rapid tendon]

bruh wtf whyd i say first

i meant second

mb its late im cooked

try this one

whats the possibility of having blue ONLY ONCE during the two turns

and im gonna go to sleep so if you attempt that il read it tmr

[jagged mesa]

o ok

gn!!

ty for the help

ill attempt it

ngl i forgot how to get the probability on the first
but

i know second so

blue blue

red blue

white blue

wait

blue

0.1x0.2 = 0.02

so 2%

white blue 0.2x0.3

6%

so 8% total so far

and

[rapid tendon]

blue only once

means

[jagged mesa]

red 0.6x0.3

oh

right

[rapid tendon]

invalid

blue red
blue white

those also work

[jagged mesa]

blue once

is

[rapid tendon]

blue once is here

[jagged mesa]

oh

[rapid tendon]

its only occurs there once

[jagged mesa]

OH

OH

OH

i see what u mena

[rapid tendon]

correct

[jagged mesa]

mean

find the probability

of

red and blue

and white and blue

[rapid tendon]

correct

[jagged mesa]

and add together

[rapid tendon]

add them all up after

[jagged mesa]

ah yes yes

[rapid tendon]

and im gonna to to sleep

goodnight

[jagged mesa]

gn bro

ty 🙏

[rapid tendon]

np

[jagged mesa]

6% for white

0.18 for red

so 18%

24%

for blue once

[rapid tendon]

cool

[jagged mesa]

i got it right?

nice

still tho im horrible at probability

anyways our teacher told us whats on the test

4 parts on algebra

co ordinate geometry

functions

uh

forgot the rest but ill check soon

[rapid tendon]

fair send ws or stuff tmr

qs*

[jagged mesa]

ye ye ok

[hybrid saffron]

need help?

[jagged mesa]

yea ill study today

[hybrid saffron]

perfect

[jagged mesa]

i js took a break cuz the fight last night lmao

[hybrid saffron]

i’ll be online the majority of the day

[jagged mesa]

stayed up till 5 am

[hybrid saffron]

oh wait who won

[jagged mesa]

oh alrr thats good

jake won :/

[hybrid saffron]

😦

[jagged mesa]

mike had like a leg injury or smth

[hybrid saffron]

man

bruh

[jagged mesa]

atleast katie taylor won her fight tho

I PREDICTED ALL THE FIGHTS RIGHT

BESIDE THE MIKE ONE

idk atleast mike didnt get knockd out lol

[hybrid saffron]

hahahahah

alr i’ll see you later i suppose

unless you need help rn

[jagged mesa]

eh prolly in like an hour

[jagged mesa]

hey

@rapid tendon u there?

[rapid tendon]

sup

[jagged mesa]

wanna help me a bit

[rapid tendon]

ye

send

[jagged mesa]

ok

so wth do i do for this

this aswell

yo

@hybrid saffron are u on or are u busy

@rapid tendon yo u there

[rapid tendon]

sup

mb i was organising my desk

[rapid tendon]

what is the y intercept

@jagged mesa

[jagged mesa]

o

alr

i dont know how to find it

well

all i know is if we looking for the x intercept the y intercept is 0

etc

[jagged mesa]

oh yea no worries

[rapid tendon]

no but whats the definition

of a y intercept

[jagged mesa]

ohh

were the line hits the Y axis

[rapid tendon]

what is the value of x

when we are trying to find where the line hits the y axis

what do we sub in

[jagged mesa]

idk

[rapid tendon]

okay so

$y= ax^2 + bx + c$

[jagged mesa]

what does that mean

[rapid tendon]

thats the

equation of a quadratic

[jagged mesa]

oh

[naive grotto]

Jam

[rapid tendon]

like

a curved line

[jagged mesa]

ye ye

but why x^2

[rapid tendon]

thats a line that curves

another equation of a line is

$y = mx+c$

[naive grotto]

Jam

[rapid tendon]

mx+c mx+b idk

[jagged mesa]

yea thats the only one i know

[rapid tendon]

different countries use different ones

[jagged mesa]

m is the slope

[rapid tendon]

thats a straight line

[jagged mesa]

c is the y axis

[rapid tendon]

what is c

y intercept

right?

[jagged mesa]

mb

lol

ye

y intercept

[rapid tendon]

whats the y intercept of this

[jagged mesa]

c?

[rapid tendon]

perfect

[jagged mesa]

ohh

what about bx

[rapid tendon]

do you know why?

why its c?

[rapid tendon]

il get there in a minute

[jagged mesa]

no not really, only because i know that c is in the equation of the line

[rapid tendon]

so

you know that

for a line

[jagged mesa]

yes

[rapid tendon]

y=2x+4

imagine this line

i made one up

[jagged mesa]

ye

2 is the slope

and 4 is the y intercept

[rapid tendon]

if i have a point at x coordinate 2 called point A

[jagged mesa]

o

[rapid tendon]

whats the y coordinate?
therefore what is the point A?

[jagged mesa]

like (2,0)?

[rapid tendon]

but is it 0?

[jagged mesa]

yes because x co ordinate is the x intercept or?

[rapid tendon]

$y=2x+4$

[naive grotto]

Jam

[rapid tendon]

this is your line

y=2x+4

[jagged mesa]

oh

[rapid tendon]

whats the point at x=2

[jagged mesa]

ye

[rapid tendon]

on that line

[jagged mesa]

pretty sure thats (2,0)

[rapid tendon]

nuhuh

[jagged mesa]

ok then (2.4)

[rapid tendon]

see the red line

it intersects 2,8

[jagged mesa]

what how

[jagged mesa]

oh that 2

[rapid tendon]

the other 2 is NEGATIVE 2

[jagged mesa]

ohh ye but it didnt have a negative

[rapid tendon]

were u looking here?
this is negative 2

[jagged mesa]

so i didnt think for a sec

ye

[rapid tendon]

np its cuz the red line covered iot

but its below 0 so

[rapid tendon]

whats the coordinate where x=0?

[jagged mesa]

yea

[jagged mesa]

hm

[rapid tendon]

the x axis is horizontal

[jagged mesa]

yes

id say (-2,0)

[rapid tendon]

thats when y=0

x axis is

the horizontal

y axis is vertical

[jagged mesa]

(0,4)

[rapid tendon]

when x=2

u can find it by drawing a line here

[rapid tendon]

perf

but you cant draw a line for every single question right?

it takes wayyy too long

am i right

[hybrid saffron]

still need help?

[jagged mesa]

wym

[jagged mesa]

yea sure

[jagged mesa]

ye

[rapid tendon]

right

so the other way we can find the coordinates

is algebraically

[jagged mesa]

ok

which is functions?

[rapid tendon]

$y=2x+4$

[naive grotto]

Jam

[rapid tendon]

you need to understand this

before we even move on to functions

lol

[jagged mesa]

alr

[rapid tendon]

im still on straight lines, after that its quadratic

then functions sure

[jagged mesa]

ok

[rapid tendon]

so we are trying to find x=4 right?

[jagged mesa]

wait just asingbut how?

whats with the 2x then

[rapid tendon]

how what?

[rapid tendon]

+4 is the y intercept, where it interacts with the y axis (basically where it cuts it)

the 2x

2 is the gradient

(m)

it is the slope

[rapid tendon]

like u said

[jagged mesa]

ohhh

[rapid tendon]

il teach you how to do it when you want me to teach u it

like once u understand

u can let me know

any questions before i move on to it then?

[jagged mesa]

oh riht this is just the equation of the line

lol

[rapid tendon]

yep

its just

y=mx + c

[jagged mesa]

ye ye

i didnt realise for a lil

[rapid tendon]

ready?

[jagged mesa]

ok continu

yep

[rapid tendon]

y=2x+4

we want to find when x=4 right?

switch the x with 4

y=2(4)+4

what is y?

[jagged mesa]

ye let y = 0

[rapid tendon]

nope

[jagged mesa]

thats how my teacher said t do it

[rapid tendon]

we want to find when x=4 what will y be

[rapid tendon]

thats to find the roots

the value of x on the x axis

as the line cuts

[jagged mesa]

o alr

[rapid tendon]

in this case when you let y=0, you get -2

which is the root

---

y=2x+4
we want to find when x=4 right?
switch the x with 4
y=2(4)+4
what is y?

[jagged mesa]

y = 8+4

[rapid tendon]

which is?

[jagged mesa]

so 12

i mean

y=12

[rapid tendon]

see here?

when x=4, y=12

what are the coordinates of that point?

[jagged mesa]

(4,12)

but

[rapid tendon]

yep

[jagged mesa]

nvm

ye

i see

[rapid tendon]

nah go ahead

whats up

[jagged mesa]

na dw about it

ok

[rapid tendon]

u sure?

[jagged mesa]

yes

[rapid tendon]

okay

lets try another on

y=4x+3

whats the y coordinate when x=3?

[jagged mesa]

ok

so

y = 4(3) + 3

y = 15

[rapid tendon]

perfect

want me to prove it using a graph or do you get it?

[jagged mesa]

show me a graph anyways

but i get it

[rapid tendon]

er

it dopesnt really show

3,15 cuz the graph s too big