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steve816

  • one year ago

It has been 4 hours. My hope is slowly diminishing. Please MAYDAY! MAYDAY! Find the equation of a line containing the points S(-3,4) and T(6,-7) in slope-intercept, standard, and point-slope form.

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  1. jim_thompson5910
    • one year ago
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    what slope did you get?

  2. steve816
    • one year ago
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    actually I think it's -9/11

  3. jim_thompson5910
    • one year ago
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    yes

  4. jim_thompson5910
    • one year ago
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    no you had it right the first time

  5. steve816
    • one year ago
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    oh -11/9

  6. steve816
    • one year ago
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    So what do I do from here?

  7. jim_thompson5910
    • one year ago
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    \[\Large m = \frac{y_2-y_1}{x_2-x_1}\] \[\Large m = \frac{-7-4}{6-(-3)}\] \[\Large m = \frac{-7-4}{6+3}\] \[\Large m = \frac{-11}{9}\]

  8. jim_thompson5910
    • one year ago
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    now you use one of the points along with the slope

  9. steve816
    • one year ago
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    Yes thank you for that.

  10. jim_thompson5910
    • one year ago
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    and plug them into the point slope form \[\Large y - y_1 = m(x-x_1)\]

  11. steve816
    • one year ago
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    how do I find the y intercept?

  12. jim_thompson5910
    • one year ago
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    \[\Large y - y_1 = m(x-x_1)\] \[\Large y - y_1 = -\frac{11}{9}(x-x_1)\] \[\Large y - 4 = -\frac{11}{9}(x-(-3))\] \[\Large y - 4 = -\frac{11}{9}(x+3)\] In Step 2, I plugged in the slope In Step 3, I plugged in one of the given points. In this case, I used (-3,4)

  13. jim_thompson5910
    • one year ago
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    so hopefully you see how I got the point slope form equation

  14. steve816
    • one year ago
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    Wow, brilliant!

  15. steve816
    • one year ago
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    but how do I find the b value in slope-intercept form?

  16. jim_thompson5910
    • one year ago
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    now isolate y and convert the equation into y = mx+b form

  17. jim_thompson5910
    • one year ago
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    also you'll have to distribute the -11/9 through

  18. steve816
    • one year ago
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    Alright thanks!

  19. jim_thompson5910
    • one year ago
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    as for standard form, you have to convert to Ax + By = C form

  20. jim_thompson5910
    • one year ago
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    A,B,C are whole numbers

  21. steve816
    • one year ago
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    Yes I understand how to do this from there! Thanks so much, really appreciate it.

  22. jim_thompson5910
    • one year ago
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    you're welcome

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