## itsjustme_lol 3 years ago Change the given equation into slope-intercept form. 4x – 3y = -12

1. jiji501

Do you know the equation for the slope-intercept form?

2. itsjustme_lol

no this is a pretest so i havent learned it exactly yet

3. jiji501

Ok!

4. jiji501

The slope-intercept form is: y= ax+b

5. jiji501

As you can see, we're trying to isolate the y on one side and bring everything else to the other.

6. jiji501

The y is also positive and has only one of them ( So there is not 2y = ax + b for example)

7. itsjustme_lol

ok

8. itsjustme_lol

im still confused

9. jiji501

Let's do it step by step. Can you make your y by itself? (Bring the x over)

10. itsjustme_lol

ok. and no, i dont know how to do any of it. Im new to this kind of stuff and its confusing lol

11. jiji501

I'll give you a simple equation x + 1 = 5

12. jiji501

Would it be mathematically correct to say that x = 4? Because x+1-1 = 5-1

13. itsjustme_lol

yes

14. jiji501

Exactly! So it is the same thing here but we add something harder. We have to move variables to the other side as well!

15. jiji501

4x -3y = 12 Would it be correct to say that 4x-4x-3y = 12-4x ???

16. jiji501

So -3y = 12-4x?

17. itsjustme_lol

ok but whats next?

18. itsjustme_lol

-3/2?

19. jiji501

Well as you can see, we've already isolated the y. What we want to do is get only one y and to make it positive.

20. jiji501

How do we get rid of the -3 in front of y?

21. itsjustme_lol

divide it by 3?

22. jiji501

By -3, close ;)

23. jiji501

So now... y = ?

24. itsjustme_lol

1

25. jiji501

Well there is one y but I mean what is on the other side of y

26. jiji501

what is 12/-3 and -4x/-3

27. itsjustme_lol

-4 is the first one, the other us a decimal 1.33 repeating

28. jiji501

Correct. You could also leave it as a fraction.

29. jiji501

So y = 4/3x -4

30. jiji501

That would be your answer. 4/3 is the slope and -4 is the y-intercept

31. pottersheep

It has to be in y = mx + b form

32. itsjustme_lol

33. itsjustme_lol

so it would be D?

34. jiji501

We just did it together....y = 4/3x -4

35. jiji501

You said it yourself.... -4!!!

36. itsjustme_lol

lol. sorry i meant C. thankyouuuu