Question

Help with standard form?

Answer 1

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

Answer 2

One moment

Answer 3

Okay.

Answer 4

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

Answer 5

Once you do that I'll continue explaining

Answer 6

So you get y=4/3x+2

Answer 7

Now standard form is Ax+By=C

Answer 8

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

Answer 9

Sorry computer crashed

Answer 10

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

Answer 11

You take t right from the equation

Answer 12

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)

Answer 13

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

Answer 14

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

Answer 15

Does that make sense? Any questions?

Answer 16

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

Answer 17

yes

Answer 18

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

Answer 19

The one that's in standard form now?

Answer 20

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

Answer 21

If so, this is what you do:

Answer 22

You pretty much just go backwards

Answer 23

So you first put it into y=mx+b

Answer 24

So you get =4/3x+2

Answer 25

Could you hold on maybe thirty minutes? I gotta go to piano.... I promise I'll answer your question when I get home

Answer 26

Okay, thank you.

Answer 27

I'm back so sorry for the wait

Answer 28

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

Answer 29

subtract 4/3x from both sides

Answer 30

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

Answer 31

so multiply each by three

Answer 32

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

Answer 33

So next you add 4x to both sides

Answer 34

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

Answer 35

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)

Answer 36

Do you have any questions?

Answer 37

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

Answer 38

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

Answer 39

Okay, thank you!

Answer 40

No prob! Any more questions or are you good?

Answer 41

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.

Answer 42

ok

Answer 43

here:

Answer 44

let me type it out

Answer 45

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

Answer 46

Thank you so much for all your help! If I could give you more than one medal I would. Does this look about right?