anonymous
  • anonymous
Help with standard form?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
How would you convert y - (-2) = 4/3(x - 0) to standard form?
anonymous
  • anonymous
One moment
anonymous
  • anonymous
Okay.

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anonymous
  • anonymous
So the first thing you must do is put the equation in y=mx+b
anonymous
  • anonymous
Once you do that I'll continue explaining
anonymous
  • anonymous
So you get y=4/3x+2
anonymous
  • anonymous
Now standard form is Ax+By=C
anonymous
  • anonymous
Okay. So you had been simplifying the equation I wrote?
anonymous
  • anonymous
Sorry computer crashed
anonymous
  • anonymous
So now you need to find the A, B, and C
anonymous
  • anonymous
You take t right from the equation
anonymous
  • anonymous
So your A is the number before x (4/3), your B is the number before y (1), and your Cis the remaining number (2)
anonymous
  • anonymous
So you get the equation: 4/3x+y=2
anonymous
  • anonymous
Sorry it took so long I had to use a different computer.
anonymous
  • anonymous
Does that make sense? Any questions?
anonymous
  • anonymous
Okay, thank you. Could you help me with one more thing?
anonymous
  • anonymous
yes
anonymous
  • anonymous
How do you turn that equation into a slope intercept form equation?
anonymous
  • anonymous
The one that's in standard form now?
anonymous
  • anonymous
So from 4/3x+y=2 into standard.... is that what you're asking?
anonymous
  • anonymous
If so, this is what you do:
anonymous
  • anonymous
You pretty much just go backwards
anonymous
  • anonymous
So you first put it into y=mx+b
anonymous
  • anonymous
So you get =4/3x+2
anonymous
  • anonymous
Could you hold on maybe thirty minutes? I gotta go to piano.... I promise I'll answer your question when I get home
anonymous
  • anonymous
Okay, thank you.
anonymous
  • anonymous
I'm back so sorry for the wait
anonymous
  • anonymous
OK so you have y=4/3x+2
anonymous
  • anonymous
subtract 4/3x from both sides
anonymous
  • anonymous
The slope is a fraction so you have to multiply both sides by the denominatior
anonymous
  • anonymous
so multiply each by three
anonymous
  • anonymous
now you have 3y=-4x+6 (finished)
anonymous
  • anonymous
So next you add 4x to both sides
anonymous
  • anonymous
and you're final answer is 4x+3y=6
anonymous
  • anonymous
And for the question before this one I forgot to let you know that in standard form you can't have a fraction, so you simply multiply both sides by the denominator and you'd end up with 4x+3y=6... (4/3x times 3 is 4, 2 times 3 is 6, and of course y times 3 is 3y)
anonymous
  • anonymous
Do you have any questions?
anonymous
  • anonymous
But you said that 4x + 3y = 6 was intercept slope form right?
anonymous
  • anonymous
No, standard.... slope-intercept is y=4/3x+2
anonymous
  • anonymous
Okay, thank you!
anonymous
  • anonymous
No prob! Any more questions or are you good?
anonymous
  • anonymous
Kind of, it's just that for the questions I asked you, I have to show my work, and I'm trying how to write that out.
anonymous
  • anonymous
ok
anonymous
  • anonymous
here:
anonymous
  • anonymous
let me type it out
anonymous
  • anonymous
y-(-2)=4/3(x-0) y+2=4/3(x-0) (0,2) 2=4/3(0)+b 2=0+b 2=b y=4/3x+2 A=4/3 B=1 C=2 4/3x+y=2 (multiply each side by 3) 4x+3y=6
anonymous
  • anonymous
Thank you so much for all your help! If I could give you more than one medal I would. Does this look about right?

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