anonymous one year ago What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0?

1. anonymous

Get it into y = mx + b form by solving for y. Start by distributing

2. anonymous

m will be the slope, b is the y-intercept

3. anonymous

I don't understand

4. anonymous

First, distribute everything.

5. anonymous

you need to use the distributive property first and then put it into slope-intercept form

6. anonymous

Agreed. There is a specific form for finding slope and y-intercept. This is called the slope-intercept for, which @peachpi has stated.

7. anonymous

I distributed the 3 by mulitiplying both terms in parentheses by 3. Now distribute the 6 in the 2nd parentheses. |dw:1437354317676:dw|

8. anonymous

I've heard of slope intercept I just don't know how to use it

9. anonymous

slope intercept is one of the forms to write the equation of a line. y = mx + b where m is slope and b is y-intercept. For example the equation y = 7x - 2 has a slope of 7 and a y-intercept of -2.

10. anonymous

What class are you on?

11. anonymous

Algebra 1

12. anonymous

And you don't know how to use slope-intercept or you haven't heard of it?

13. anonymous

I don't understand how to use it, I've heard of it though. I just finished a lesson about it

14. anonymous

Ok, so the slope-intercept form is used to make a line. As @peachpi mentioned, in y=mx+b, "m" is the slope and "b" is the y-intercept. Once you solve for these two variables, you can draw a line

15. anonymous

In this problem, you are given enough information to attain the slope-intercept, but you need to work through the problem

16. anonymous

First, distribute the whole problem and then we'll work through the rest

17. anonymous

Okay I believe that once distributed the problem would look something like this 3y-6+6x+6-2=0

18. anonymous

Yes, now combine like terms

19. anonymous

Were you able to do it?

20. anonymous

@sewandowski yes I was able to distribute.

21. anonymous

what did you get?

22. anonymous

look above, it's in the comments

23. anonymous

@peachpi okay I combined like terms 6x+3y-2

24. anonymous

Hehe, that's what I asked for XD

25. anonymous

Now all you need to do is get y alone

26. Mertsj

You started out with an equation. What happened to the equal sign? 1. Subtract 6x from both sides. 2. Divide both sides by 6

27. anonymous

okay now I'm confused @peachpi and @sewandowski have been telling me one thing and now @Mertsj is saying something different

28. anonymous

Hahaha, no, we're all telling you the same thing but in different words

29. Mertsj

$3(y-2)+6(x+1)-2=0$

30. anonymous

What @Mertsj told you are the steps to isolate y

31. Mertsj

$3y-6+6x+6-2=0$

32. Mertsj

$3y+6x-2=0$

33. Mertsj

$3y+6x-2+2=0+2$

34. Mertsj

$3y+6x=2$

35. Mertsj

$3y+6x-6x=-6x+2$

36. Mertsj

$3y=-6x+2$

37. Mertsj

$\frac{3y}{3}=\frac{-6x}{3}+\frac{2}{3}$

38. Mertsj

$y=-2x+\frac{2}{3}$

39. Mertsj

$y=mx+b$

40. Mertsj

What is m in your equation?

41. anonymous

um, i don't know.

42. anonymous

Look at the value being multiplied by x...

43. Mertsj

|dw:1437355970003:dw|

44. Mertsj

What is m?

45. anonymous

-2

46. Mertsj

|dw:1437356017128:dw|

47. Mertsj

m is the slope of the line.

48. Mertsj

What is b?

49. Mertsj

|dw:1437356054198:dw|

50. Mertsj

@kaetyn78 What is b?

51. anonymous

2/3

52. anonymous

you spelled my name wrong, its Kaelyn

53. Mertsj

b is the y intercept. Now...answer the questions that the problem asks.

54. Mertsj

Don't sweat the small stuff.

55. anonymous

thank you

56. anonymous

thanks to everyone who helped

57. Mertsj

yw

58. anonymous

np