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