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

- anonymous

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

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- schrodinger

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- anonymous

Get it into y = mx + b form by solving for y.
Start by distributing

- anonymous

m will be the slope, b is the y-intercept

- anonymous

I don't understand

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- anonymous

First, distribute everything.

- anonymous

you need to use the distributive property first and then put it into slope-intercept form

- anonymous

Agreed.
There is a specific form for finding slope and y-intercept.
This is called the slope-intercept for, which @peachpi has stated.

- anonymous

I distributed the 3 by mulitiplying both terms in parentheses by 3. Now distribute the 6 in the 2nd parentheses.
|dw:1437354317676:dw|

- anonymous

I've heard of slope intercept I just don't know how to use it

- anonymous

slope intercept is one of the forms to write the equation of a line.
y = mx + b
where m is slope and b is y-intercept.
For example the equation y = 7x - 2 has a slope of 7 and a y-intercept of -2.

- anonymous

What class are you on?

- anonymous

Algebra 1

- anonymous

And you don't know how to use slope-intercept or you haven't heard of it?

- anonymous

I don't understand how to use it, I've heard of it though. I just finished a lesson about it

- anonymous

Ok, so the slope-intercept form is used to make a line. As @peachpi mentioned, in y=mx+b, "m" is the slope and "b" is the y-intercept. Once you solve for these two variables, you can draw a line

- anonymous

In this problem, you are given enough information to attain the slope-intercept, but you need to work through the problem

- anonymous

First, distribute the whole problem and then we'll work through the rest

- anonymous

Okay I believe that once distributed the problem would look something like this
3y-6+6x+6-2=0

- anonymous

Yes, now combine like terms

- anonymous

Were you able to do it?

- anonymous

@sewandowski yes I was able to distribute.

- anonymous

what did you get?

- anonymous

look above, it's in the comments

- anonymous

@peachpi okay I combined like terms
6x+3y-2

- anonymous

Hehe, that's what I asked for XD

- anonymous

Now all you need to do is get y alone

- Mertsj

You started out with an equation. What happened to the equal sign?
1. Subtract 6x from both sides.
2. Divide both sides by 6

- anonymous

okay now I'm confused @peachpi and @sewandowski have been telling me one thing and now @Mertsj is saying something different

- anonymous

Hahaha, no, we're all telling you the same thing but in different words

- Mertsj

\[3(y-2)+6(x+1)-2=0\]

- anonymous

What @Mertsj told you are the steps to isolate y

- Mertsj

\[3y-6+6x+6-2=0\]

- Mertsj

\[3y+6x-2=0\]

- Mertsj

\[3y+6x-2+2=0+2\]

- Mertsj

\[3y+6x=2\]

- Mertsj

\[3y+6x-6x=-6x+2\]

- Mertsj

\[3y=-6x+2\]

- Mertsj

\[\frac{3y}{3}=\frac{-6x}{3}+\frac{2}{3}\]

- Mertsj

\[y=-2x+\frac{2}{3}\]

- Mertsj

\[y=mx+b\]

- Mertsj

What is m in your equation?

- anonymous

um, i don't know.

- anonymous

Look at the value being multiplied by x...

- Mertsj

|dw:1437355970003:dw|

- Mertsj

What is m?

- anonymous

-2

- Mertsj

|dw:1437356017128:dw|

- Mertsj

m is the slope of the line.

- Mertsj

What is b?

- Mertsj

|dw:1437356054198:dw|

- Mertsj

@kaetyn78 What is b?

- anonymous

2/3

- anonymous

you spelled my name wrong, its Kaelyn

- Mertsj

b is the y intercept.
Now...answer the questions that the problem asks.

- Mertsj

Don't sweat the small stuff.

- anonymous

thank you

- anonymous

thanks to everyone who helped

- Mertsj

yw

- anonymous

np

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