anonymous
  • anonymous
What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Get it into y = mx + b form by solving for y. Start by distributing
anonymous
  • anonymous
m will be the slope, b is the y-intercept
anonymous
  • anonymous
I don't understand

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anonymous
  • anonymous
First, distribute everything.
anonymous
  • anonymous
you need to use the distributive property first and then put it into slope-intercept form
anonymous
  • 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
  • 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
  • anonymous
I've heard of slope intercept I just don't know how to use it
anonymous
  • 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
  • anonymous
What class are you on?
anonymous
  • anonymous
Algebra 1
anonymous
  • anonymous
And you don't know how to use slope-intercept or you haven't heard of it?
anonymous
  • anonymous
I don't understand how to use it, I've heard of it though. I just finished a lesson about it
anonymous
  • 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
  • anonymous
In this problem, you are given enough information to attain the slope-intercept, but you need to work through the problem
anonymous
  • anonymous
First, distribute the whole problem and then we'll work through the rest
anonymous
  • anonymous
Okay I believe that once distributed the problem would look something like this 3y-6+6x+6-2=0
anonymous
  • anonymous
Yes, now combine like terms
anonymous
  • anonymous
Were you able to do it?
anonymous
  • anonymous
@sewandowski yes I was able to distribute.
anonymous
  • anonymous
what did you get?
anonymous
  • anonymous
look above, it's in the comments
anonymous
  • anonymous
@peachpi okay I combined like terms 6x+3y-2
anonymous
  • anonymous
Hehe, that's what I asked for XD
anonymous
  • anonymous
Now all you need to do is get y alone
Mertsj
  • 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
  • anonymous
okay now I'm confused @peachpi and @sewandowski have been telling me one thing and now @Mertsj is saying something different
anonymous
  • anonymous
Hahaha, no, we're all telling you the same thing but in different words
Mertsj
  • Mertsj
\[3(y-2)+6(x+1)-2=0\]
anonymous
  • anonymous
What @Mertsj told you are the steps to isolate y
Mertsj
  • Mertsj
\[3y-6+6x+6-2=0\]
Mertsj
  • Mertsj
\[3y+6x-2=0\]
Mertsj
  • Mertsj
\[3y+6x-2+2=0+2\]
Mertsj
  • Mertsj
\[3y+6x=2\]
Mertsj
  • Mertsj
\[3y+6x-6x=-6x+2\]
Mertsj
  • Mertsj
\[3y=-6x+2\]
Mertsj
  • Mertsj
\[\frac{3y}{3}=\frac{-6x}{3}+\frac{2}{3}\]
Mertsj
  • Mertsj
\[y=-2x+\frac{2}{3}\]
Mertsj
  • Mertsj
\[y=mx+b\]
Mertsj
  • Mertsj
What is m in your equation?
anonymous
  • anonymous
um, i don't know.
anonymous
  • anonymous
Look at the value being multiplied by x...
Mertsj
  • Mertsj
|dw:1437355970003:dw|
Mertsj
  • Mertsj
What is m?
anonymous
  • anonymous
-2
Mertsj
  • Mertsj
|dw:1437356017128:dw|
Mertsj
  • Mertsj
m is the slope of the line.
Mertsj
  • Mertsj
What is b?
Mertsj
  • Mertsj
|dw:1437356054198:dw|
Mertsj
  • Mertsj
@kaetyn78 What is b?
anonymous
  • anonymous
2/3
anonymous
  • anonymous
you spelled my name wrong, its Kaelyn
Mertsj
  • Mertsj
b is the y intercept. Now...answer the questions that the problem asks.
Mertsj
  • Mertsj
Don't sweat the small stuff.
anonymous
  • anonymous
thank you
anonymous
  • anonymous
thanks to everyone who helped
Mertsj
  • Mertsj
yw
anonymous
  • anonymous
np

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