anonymous
  • anonymous
Determine an equation of the line through the given point is parallel to the given line: (-1,2): 3y+2x=6
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
What's the slope of the given line?
anonymous
  • anonymous
not sure
anonymous
  • anonymous
Can you quickly solve for y?

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anonymous
  • anonymous
3y=6+2x
anonymous
  • anonymous
If you put the equation in the form y=mx + b m will be your slope.
anonymous
  • anonymous
err y=mx+b m is the slope.
anonymous
  • anonymous
That's not quite right. It should be 3y=-2x + 6
anonymous
  • anonymous
Now divide by 3.
anonymous
  • anonymous
So y=-2x+2
anonymous
  • anonymous
So y=-2x+2
anonymous
  • anonymous
No. \[y=\frac{-2}{3}x + 2\]
anonymous
  • anonymous
Go a little slower, you 're making a number of clerical mistakes.
anonymous
  • anonymous
Okay, I understand. Now, isn't there yet another formula to put in the points?
anonymous
  • anonymous
Once you have the slope of the given line you know the slope of your parallel line (parallel lines have the same slope). You can make your new line using the point slope formula: \[y-y_0 = m(x-x_0)\] Where m is the slope of your line, and \(x_0,y_0\) are the x and y values of a point on the line.
anonymous
  • anonymous
So m=the -2/3+2
anonymous
  • anonymous
Sorry, i'm horrible at this
anonymous
  • anonymous
y-2=m(x-(-1))
anonymous
  • anonymous
Then y-2=m(x+1)
anonymous
  • anonymous
m = -2/3 Not the +2.
anonymous
  • anonymous
-2/3 is the slope. y = mx + b The m is the slope.
anonymous
  • anonymous
So is this right then.....y=-2/3s11
anonymous
  • anonymous
y-2=-2/3(x+1) is correct. Then simplify. into y = something.
anonymous
  • anonymous
Wow, i don't know how else to simplify this
anonymous
  • anonymous
\[y-2 = \frac{-2}{3}(x+1)\] Add 2 to both sides. \[y = \frac{-2}{3}(x+1) + 2 \] Multiply through the -2/3. \[y = \frac{-2}{3}x -\frac{2}{3} + 2 \] Combine the non-variable terms.
anonymous
  • anonymous
So y=2?
anonymous
  • anonymous
Okay, i'm seriously horrible at this.
anonymous
  • anonymous
Is there a Algebra for Dummies book out there? I'm sure there is, and it's going to be with my other books.
anonymous
  • anonymous
There's a number of good videos you can watch.
anonymous
  • anonymous
http://www.khanacademy.org/video/simple-equations?playlist=Algebra
anonymous
  • anonymous
Start there and work on some of the more complicated equations too
anonymous
  • anonymous
Well, I need it seriously to finish this class. . Can you help me finish this one please.....
anonymous
  • anonymous
I will certainly do that.
anonymous
  • anonymous
Just bookmarked it.
anonymous
  • anonymous
You should have y = (-2/3)x + 4/3
anonymous
  • anonymous
All the other questions are coming up similar to 3x+y-6=0 They all have 0's at the ends..
anonymous
  • anonymous
That doesn't matter. You can always move things back and forth across the equal sign by adding or subtracting things.
anonymous
  • anonymous
So I could do -2/3x+y+2=0
anonymous
  • anonymous
You can, but there's no need.
anonymous
  • anonymous
thank you very much
anonymous
  • anonymous
Also that would be wrong.
anonymous
  • anonymous
Because you have to add (2/3)x -4/3 to both sides (or subtract y from both sides) to get 0.
anonymous
  • anonymous
Okay, i understand that. Thanks.
anonymous
  • anonymous
You sure are good at this.
anonymous
  • anonymous
You need to review working with equations a bit, and take things slowly, but you'll get there. Math is a practiced skill, not an innate talent.
anonymous
  • anonymous
I know, thanks again.

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