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How would you convert y - (-2) = 4/3(x - 0) to standard form?
So the first thing you must do is put the equation in y=mx+b
Once you do that I'll continue explaining
So you get y=4/3x+2
Now standard form is Ax+By=C
Okay. So you had been simplifying the equation I wrote?
Sorry computer crashed
So now you need to find the A, B, and C
You take t right from the equation
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)
So you get the equation: 4/3x+y=2
Sorry it took so long I had to use a different computer.
Does that make sense? Any questions?
Okay, thank you. Could you help me with one more thing?
How do you turn that equation into a slope intercept form equation?
The one that's in standard form now?
So from 4/3x+y=2 into standard.... is that what you're asking?
If so, this is what you do:
You pretty much just go backwards
So you first put it into y=mx+b
So you get =4/3x+2
Could you hold on maybe thirty minutes? I gotta go to piano.... I promise I'll answer your question when I get home
Okay, thank you.
I'm back so sorry for the wait
OK so you have y=4/3x+2
subtract 4/3x from both sides
The slope is a fraction so you have to multiply both sides by the denominatior
so multiply each by three
now you have 3y=-4x+6 (finished)
So next you add 4x to both sides
and you're final answer is 4x+3y=6
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)
Do you have any questions?
But you said that 4x + 3y = 6 was intercept slope form right?
No, standard.... slope-intercept is y=4/3x+2
Okay, thank you!
No prob! Any more questions or are you good?
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.
let me type it out
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