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anonymous

  • one year ago

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

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  1. anonymous
    • one year ago
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    Get it into y = mx + b form by solving for y. Start by distributing

  2. anonymous
    • one year ago
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    m will be the slope, b is the y-intercept

  3. anonymous
    • one year ago
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    I don't understand

  4. anonymous
    • one year ago
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    First, distribute everything.

  5. anonymous
    • one year ago
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    you need to use the distributive property first and then put it into slope-intercept form

  6. anonymous
    • one year ago
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    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
    • one year ago
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    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
    • one year ago
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    I've heard of slope intercept I just don't know how to use it

  9. anonymous
    • one year ago
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    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
    • one year ago
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    What class are you on?

  11. anonymous
    • one year ago
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    Algebra 1

  12. anonymous
    • one year ago
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    And you don't know how to use slope-intercept or you haven't heard of it?

  13. anonymous
    • one year ago
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    I don't understand how to use it, I've heard of it though. I just finished a lesson about it

  14. anonymous
    • one year ago
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    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
    • one year ago
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    In this problem, you are given enough information to attain the slope-intercept, but you need to work through the problem

  16. anonymous
    • one year ago
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    First, distribute the whole problem and then we'll work through the rest

  17. anonymous
    • one year ago
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    Okay I believe that once distributed the problem would look something like this 3y-6+6x+6-2=0

  18. anonymous
    • one year ago
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    Yes, now combine like terms

  19. anonymous
    • one year ago
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    Were you able to do it?

  20. anonymous
    • one year ago
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    @sewandowski yes I was able to distribute.

  21. anonymous
    • one year ago
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    what did you get?

  22. anonymous
    • one year ago
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    look above, it's in the comments

  23. anonymous
    • one year ago
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    @peachpi okay I combined like terms 6x+3y-2

  24. anonymous
    • one year ago
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    Hehe, that's what I asked for XD

  25. anonymous
    • one year ago
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    Now all you need to do is get y alone

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

  28. anonymous
    • one year ago
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    Hahaha, no, we're all telling you the same thing but in different words

  29. Mertsj
    • one year ago
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    \[3(y-2)+6(x+1)-2=0\]

  30. anonymous
    • one year ago
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    What @Mertsj told you are the steps to isolate y

  31. Mertsj
    • one year ago
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    \[3y-6+6x+6-2=0\]

  32. Mertsj
    • one year ago
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    \[3y+6x-2=0\]

  33. Mertsj
    • one year ago
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    \[3y+6x-2+2=0+2\]

  34. Mertsj
    • one year ago
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    \[3y+6x=2\]

  35. Mertsj
    • one year ago
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    \[3y+6x-6x=-6x+2\]

  36. Mertsj
    • one year ago
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    \[3y=-6x+2\]

  37. Mertsj
    • one year ago
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    \[\frac{3y}{3}=\frac{-6x}{3}+\frac{2}{3}\]

  38. Mertsj
    • one year ago
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    \[y=-2x+\frac{2}{3}\]

  39. Mertsj
    • one year ago
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    \[y=mx+b\]

  40. Mertsj
    • one year ago
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    What is m in your equation?

  41. anonymous
    • one year ago
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    um, i don't know.

  42. anonymous
    • one year ago
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    Look at the value being multiplied by x...

  43. Mertsj
    • one year ago
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    |dw:1437355970003:dw|

  44. Mertsj
    • one year ago
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    What is m?

  45. anonymous
    • one year ago
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    -2

  46. Mertsj
    • one year ago
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    |dw:1437356017128:dw|

  47. Mertsj
    • one year ago
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    m is the slope of the line.

  48. Mertsj
    • one year ago
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    What is b?

  49. Mertsj
    • one year ago
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    |dw:1437356054198:dw|

  50. Mertsj
    • one year ago
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    @kaetyn78 What is b?

  51. anonymous
    • one year ago
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    2/3

  52. anonymous
    • one year ago
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    you spelled my name wrong, its Kaelyn

  53. Mertsj
    • one year ago
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    b is the y intercept. Now...answer the questions that the problem asks.

  54. Mertsj
    • one year ago
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    Don't sweat the small stuff.

  55. anonymous
    • one year ago
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    thank you

  56. anonymous
    • one year ago
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    thanks to everyone who helped

  57. Mertsj
    • one year ago
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    yw

  58. anonymous
    • one year ago
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    np

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