## ValentinaT 2 years ago Help with standard form?

1. ValentinaT

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

2. iluvlucy

One moment

3. ValentinaT

Okay.

4. iluvlucy

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

5. iluvlucy

Once you do that I'll continue explaining

6. iluvlucy

So you get y=4/3x+2

7. iluvlucy

Now standard form is Ax+By=C

8. ValentinaT

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

9. iluvlucy

Sorry computer crashed

10. iluvlucy

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

11. iluvlucy

You take t right from the equation

12. iluvlucy

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)

13. iluvlucy

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

14. iluvlucy

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

15. iluvlucy

Does that make sense? Any questions?

16. ValentinaT

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

17. iluvlucy

yes

18. ValentinaT

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

19. iluvlucy

The one that's in standard form now?

20. iluvlucy

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

21. iluvlucy

If so, this is what you do:

22. iluvlucy

You pretty much just go backwards

23. iluvlucy

So you first put it into y=mx+b

24. iluvlucy

So you get =4/3x+2

25. iluvlucy

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

26. ValentinaT

Okay, thank you.

27. iluvlucy

I'm back so sorry for the wait

28. iluvlucy

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

29. iluvlucy

subtract 4/3x from both sides

30. iluvlucy

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

31. iluvlucy

so multiply each by three

32. iluvlucy

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

33. iluvlucy

So next you add 4x to both sides

34. iluvlucy

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

35. iluvlucy

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)

36. iluvlucy

Do you have any questions?

37. ValentinaT

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

38. iluvlucy

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

39. ValentinaT

Okay, thank you!

40. iluvlucy

No prob! Any more questions or are you good?

41. ValentinaT

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.

42. iluvlucy

ok

43. iluvlucy

here:

44. iluvlucy

let me type it out

45. iluvlucy

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

46. ValentinaT

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