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anonymous

  • one year ago

Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3. y = -3x - 13 y = -3x + 11 y = -3x + 13 y = -3x + 1

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  1. anonymous
    • one year ago
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    @jim_thompson5910

  2. jim_thompson5910
    • one year ago
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    The general slope intercept form is y = mx+b the m is the slope (think "m" for mountain, mountains have slopes) since the slope is -3, we know that m = -3 so the equation is in the form y = -3x + b

  3. jim_thompson5910
    • one year ago
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    the line passes through (2,-5) (x,y) = (2,-5) x = 2 y = -5 y = -3x + b y = -3*2 + b ... replace x with 2 y = -6 + b -5 = -6 + b ... replace y with -5 now solve for b

  4. anonymous
    • one year ago
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    now how would I do that, I don't quite get how to solve for b.

  5. jim_thompson5910
    • one year ago
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    think of -6+b as b-6

  6. jim_thompson5910
    • one year ago
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    -5 = b-6 try to move that -6 over to isolate b

  7. UsukiDoll
    • one year ago
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    have b by itself.. what do you need to do to make this happen?

  8. anonymous
    • one year ago
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    subtract -6 from the sides?

  9. jim_thompson5910
    • one year ago
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    close

  10. jim_thompson5910
    • one year ago
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    oh nvm, I was thinking of something else yeah you are correct

  11. jim_thompson5910
    • one year ago
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    subtracting -6 from both sides is the same as adding 6 to both sides

  12. jim_thompson5910
    • one year ago
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    |dw:1434337014605:dw|

  13. jim_thompson5910
    • one year ago
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    |dw:1434337031428:dw|

  14. jim_thompson5910
    • one year ago
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    |dw:1434337050301:dw|

  15. anonymous
    • one year ago
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    oh okay

  16. anonymous
    • one year ago
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    Now what? @jim_thompson5910

  17. jim_thompson5910
    • one year ago
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    now evaluate the left side in the drawing below |dw:1434337318985:dw|

  18. jim_thompson5910
    • one year ago
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    |dw:1434337345417:dw|

  19. anonymous
    • one year ago
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    + 1

  20. anonymous
    • one year ago
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    @jim_thompson5910

  21. jim_thompson5910
    • one year ago
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    so b = 1

  22. jim_thompson5910
    • one year ago
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    m = -3 was the given slope b = 1 is the y-intercept we just found out

  23. jim_thompson5910
    • one year ago
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    you would plug those into y = mx+b

  24. anonymous
    • one year ago
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    so it would be y = -3x + 1 ?

  25. jim_thompson5910
    • one year ago
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    correct

  26. anonymous
    • one year ago
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    Yay!! Thanks ^-^

  27. jim_thompson5910
    • one year ago
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    np

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