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llroberts43

  • one year ago

How do I find the equation of a line that passes through (-2,-1) and (-1, -6)? I have to put it in slope intercept form

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  1. calculusxy
    • one year ago
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    \[\large y = mx+b\] m = slope b = y-intercept

  2. calculusxy
    • one year ago
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    First, I suggest you to figure out the slope.

  3. calculusxy
    • one year ago
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    Do you know how to?

  4. llroberts43
    • one year ago
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    the slope is -5

  5. calculusxy
    • one year ago
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    Okay so we will go with that.

  6. calculusxy
    • one year ago
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    Now that we have the slope as -5, we can substitute m for that. \[\large y = -5x + b\] Usually, in this case, what I would do is choose a coordinate from the two that are already given. So we will use (-2,-1)... As you can see that with -5 there is a "x". We will substitute that x with -2 and the y before the equal sign will be replaced with the y-coordinate (or -1). \[\large -1 = -5(-2) + b\] Now you need to solve for b.

  7. llroberts43
    • one year ago
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    So I'm multiplying -5 and -2 and that gives me 10

  8. calculusxy
    • one year ago
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    yes go on...

  9. llroberts43
    • one year ago
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    I don't know how to solve for b...I don't know what to do next

  10. calculusxy
    • one year ago
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    \[\large -1 = 10 + b\] \[\large -1 - 10 = 10 - 10 + b\] \[\large -11 = b\] Let's check this now: \[\large -1 = -5(-2) - 11 => -1 = 10 - 11 => -1 = -1\]

  11. calculusxy
    • one year ago
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    \[\large -6 = -5(-1) -11 => -6 = 5 - 11 => -6 = -6\]

  12. calculusxy
    • one year ago
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    So your slope intercept form is \[\large y = -5x - 11\]

  13. calculusxy
    • one year ago
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    Do you understand how I got it? @llroberts43

  14. llroberts43
    • one year ago
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    sorry I'm at work...trying to get off the phone so I can look

  15. llroberts43
    • one year ago
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    Ok, you subtracted 10 from both sides and that gave you the -11

  16. calculusxy
    • one year ago
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    yes

  17. calculusxy
    • one year ago
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    we needed to isolate b

  18. llroberts43
    • one year ago
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    Thank you. I have a final on this stuff today and I'm just stressed out. I don't remember doing this stuff

  19. calculusxy
    • one year ago
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    It's okay .. take a deep breath and you will be fine.. just review the work that I did in here.

  20. llroberts43
    • one year ago
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    I will. thanks again

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