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Ilovemeowmeow

  • 2 years ago

What is the y coordinate of the y−intercept of the line that passes through the points (−2, −2) and (2, 4)?

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  1. 3psilon
    • 2 years ago
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    Use the slope formula \[\frac{ y_{2}-y_{1} }{ x_{2}-x_{1} }\]

  2. Ilovemeowmeow
    • 2 years ago
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    Oh do this again? Okay got it hahah

  3. 3psilon
    • 2 years ago
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    \[\frac{ 4-(-2) }{2-(-2) }\]

  4. 3psilon
    • 2 years ago
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    Yes . Get it ? :)

  5. Ilovemeowmeow
    • 2 years ago
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    I do! thanks!

  6. 3psilon
    • 2 years ago
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    But wait that's the slope. You need the y intercept which is the b in y = mx +b

  7. Ilovemeowmeow
    • 2 years ago
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    oh.

  8. 3psilon
    • 2 years ago
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    So we found the slope m . Now just plug in One of the two coordinates and the slope into y = mx + b and solve for b. Let me know if you need more help

  9. Ilovemeowmeow
    • 2 years ago
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    I need more help forsure

  10. 3psilon
    • 2 years ago
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    Ok did you find the slope m?

  11. Ilovemeowmeow
    • 2 years ago
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    finding it now.

  12. 3psilon
    • 2 years ago
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    Ok let me know what you get

  13. Ilovemeowmeow
    • 2 years ago
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    I got 3/2?

  14. 3psilon
    • 2 years ago
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    Good job! Now we use the slope intercept formula y = mx + b

  15. 3psilon
    • 2 years ago
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    pick either (−2, −2) or (2, 4) to plug in for x and y

  16. 3psilon
    • 2 years ago
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    And you'll be able to solve for the y - intercept b

  17. Ilovemeowmeow
    • 2 years ago
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    so -2=3/2(-2)+b? lo

  18. 3psilon
    • 2 years ago
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    Perfect! Now just solve for b and you have your answer!

  19. Ilovemeowmeow
    • 2 years ago
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    how though?!

  20. Ilovemeowmeow
    • 2 years ago
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    I just cant find an answer...

  21. 3psilon
    • 2 years ago
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    Just isolate the term b

  22. 3psilon
    • 2 years ago
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    b is the y intercept

  23. Ilovemeowmeow
    • 2 years ago
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    Is -1=3/2(-2) it?

  24. 3psilon
    • 2 years ago
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    nope I'll draw it out for you. one sec

  25. Ilovemeowmeow
    • 2 years ago
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    ok

  26. 3psilon
    • 2 years ago
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    |dw:1350673516403:dw|

  27. Ilovemeowmeow
    • 2 years ago
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    So the answer is 1?

  28. 3psilon
    • 2 years ago
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    Yes , b = 1 . Do you get it?

  29. Ilovemeowmeow
    • 2 years ago
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    Now that you wrote it out, i get it. thank you!

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