Question

How do I find the slope and y intercept
What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0

Answer 1

@pooja195 you know how to solve?

Answer 2

We need to solve for y first...
Any ideas on where to start?

Answer 3

get y alone?

Answer 4

Yes...
3(y − 2) + 6(x + 1) − 2 = 0
Start by distributing
\[\huge~\rm~\bf~\color{green}{3}\color{red}{(y − 2)}+\color{green}{ 6}\color{red}{(x + 1)}− 2 = 0 \]

Answer 5

(3y-6)+(6x+6)-2=0?
like so?

Answer 6

\[\huge~\rm~\bf~3y-6+6x+6-2=0\]
combine like terms

Answer 7

okay so 3y+6x-2

Answer 8

ok good
add 2 to both sides
\[\huge~\rm~\bf~ 3y+6x-2\color{red}{+2} =0 \color{red}{+2} \]

Answer 9

what equation do we have now?

Answer 10

3y+6x=2?

Answer 11

Good
3y+6x=2
To get y alone what would you do next?

Answer 12

divide by 3?

Answer 13

mmm not yet...try again

Answer 14

Subtract 6x?

Answer 15

Perfect what equation do we get once we do that?

Answer 16

3y=2-6x

Answer 17

Good let's organize that in slope intercept form though
y=mx+b
\[\huge~\rm~ \bf~3y=-6x+2\]
What's next?

Answer 18

divide by 3

Answer 19

good what equation do we get once we do that?

Answer 20

y=-6x+2/3?

Answer 21

hmm let's try that again,
Good let's organize that in slope intercept form though
\[\huge~\rm~\bf~ \frac{ 3y=-6x+2 }{ \color{purple}{3~~~~~~~~~~3~~~~~3} }\]

Answer 22

3/3=?

Answer 23

1

Answer 24

good so we have
y=....
-6/3=?

Answer 25

Sorry I just got really confused

Answer 26

It's alright we're here to learn! :)
What are you confused on?

Answer 27

good so we have
y=....
-6/3=?

Answer 28

That

Answer 29

\(\color{#0cbb34}{\text{Originally Posted by}}\) @pooja195
hmm let's try that again,
Good let's organize that in slope intercept form though
\[\huge~\rm~\bf~ \frac{ 3y=-6x+2 }{ \color{purple}{3~~~~~~~~~~3~~~~~3} }\]
\(\color{#0cbb34}{\text{End of Quote}}\)
Remeber that we are simply dividing everything by 3 to isolate the y

Answer 30

Yeah but how do we divide 2 by 3??

Answer 31

You don't it remains the same :-)

Answer 32

-6/3=?

Answer 33

Ah okay

Answer 34

You'll see at the end, what i mean.

Answer 35

Thanks for the help btw

Answer 36

yw ^.^
Let's finish up the problem!

Answer 37

Okay

Answer 38

Can you tell me what equation we would get when we divide all the numbers by 3?

Answer 39

y=(-6x+2)/3

Answer 40

almost....
You need to divide EACH number by 3
-6/3=?

Answer 41

okay but what about 2?

Answer 42

worry about that later answer what im asking.

Answer 43

-2

Answer 44

Perfect so
y=-2x+___
2/3=2/3 it's already in its simplest form therefore it remains the same
y=-2x+2/3
y=mx+b
m=slope
b=y intercept
m=?
b=?

Answer 45

m=2 b=2/3 right?

Answer 46

*m=-2 <--don't forget the - sign
b=2/3 <---correct

Answer 47

Oh okay so my slope is -2 and y intercept is positive 2/3

Answer 48

yes ^_^

Answer 49

Okay thank you so much

Answer 50

yw ^_^