Help with standard form?

- anonymous

Help with standard form?

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- anonymous

How would you convert y - (-2) = 4/3(x - 0) to standard form?

- anonymous

One moment

- anonymous

Okay.

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- anonymous

So the first thing you must do is put the equation in y=mx+b

- anonymous

Once you do that I'll continue explaining

- anonymous

So you get y=4/3x+2

- anonymous

Now standard form is Ax+By=C

- anonymous

Okay. So you had been simplifying the equation I wrote?

- anonymous

Sorry computer crashed

- anonymous

So now you need to find the A, B, and C

- anonymous

You take t right from the equation

- 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

So you get the equation:
4/3x+y=2

- anonymous

Sorry it took so long I had to use a different computer.

- anonymous

Does that make sense? Any questions?

- anonymous

Okay, thank you. Could you help me with one more thing?

- anonymous

yes

- anonymous

How do you turn that equation into a slope intercept form equation?

- anonymous

The one that's in standard form now?

- anonymous

So from 4/3x+y=2 into standard.... is that what you're asking?

- anonymous

If so, this is what you do:

- anonymous

You pretty much just go backwards

- anonymous

So you first put it into y=mx+b

- anonymous

So you get =4/3x+2

- 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

Okay, thank you.

- anonymous

I'm back so sorry for the wait

- anonymous

OK so you have y=4/3x+2

- anonymous

subtract 4/3x from both sides

- anonymous

The slope is a fraction so you have to multiply both sides by the denominatior

- anonymous

so multiply each by three

- anonymous

now you have 3y=-4x+6 (finished)

- anonymous

So next you add 4x to both sides

- anonymous

and you're final answer is 4x+3y=6

- 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

Do you have any questions?

- anonymous

But you said that 4x + 3y = 6 was intercept slope form right?

- anonymous

No, standard.... slope-intercept is y=4/3x+2

- anonymous

Okay, thank you!

- anonymous

No prob! Any more questions or are you good?

- 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

ok

- anonymous

here:

- anonymous

let me type it out

- 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

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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