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pau08

  • 4 years ago

please answer this: How will you determine the equation of the line if the given are two points of the line? i really need the answer... thank you

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  1. ChrisV
    • 4 years ago
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    first find the slope, m=(y2-y1)/(x2-x1)

  2. ChrisV
    • 4 years ago
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    then write it in slope intercept form y-y1=m(x-x1)

  3. Directrix
    • 4 years ago
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    What if I make up two points and work the problem I made up? Will that help?

  4. pau08
    • 4 years ago
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    okey....

  5. Directrix
    • 4 years ago
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    Points ( 2, -1 ) and ( -4, -5 ) lie on a line. Find the equation of the line that contains then. Leave your answer in y = mx + b form.

  6. Directrix
    • 4 years ago
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    First, get the slope. Think of slope as change in y over change in x. m designates the slope of a line and has formula [y2 - y1] / x2 - x 1 ] . The y2 is not y^2 but what we call y sub 2 because the 2 is a subscript which is hard to type.

  7. Directrix
    • 4 years ago
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    One of our points will be (x1, y1) and the other (x2, y2) It does not matter which is which.

  8. Directrix
    • 4 years ago
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    Let (x1,y1) be (2, -1) and let (x2, y2) be (-4, -5) Questions so far?

  9. pau08
    • 4 years ago
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    what is y=mx+b

  10. Directrix
    • 4 years ago
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    That is the form we will leave the equation of our line in. So, if we get something like 2x + 7y = 2/3, then that's not y = mx+b form.

  11. pau08
    • 4 years ago
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    ah okey

  12. Directrix
    • 4 years ago
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    You don't have to leave the equation in that form unless instructed to do so. Most books do request that or standard form.

  13. Directrix
    • 4 years ago
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    Focus on cranking out this slope right now.

  14. pau08
    • 4 years ago
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    okey

  15. Directrix
    • 4 years ago
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    |dw:1329213587734:dw|

  16. Directrix
    • 4 years ago
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    4/6 = 2/3 so the slope m is 2/3. Note the use of grouping symbols to help prevent sign problems or "sinus" problems as I call them. :)

  17. Directrix
    • 4 years ago
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    Do you follow how the slope came to be 2/3?

  18. pau08
    • 4 years ago
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    ah okey

  19. pau08
    • 4 years ago
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    yes

  20. pau08
    • 4 years ago
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    you simplify it

  21. pau08
    • 4 years ago
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    |dw:1329268007717:dw|

  22. Directrix
    • 4 years ago
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    Yes.

  23. Directrix
    • 4 years ago
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    Hey, I like "okey." I understand it means "yes."

  24. Directrix
    • 4 years ago
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    Okey, now we use the point slope formula to get the equation of the line.

  25. Directrix
    • 4 years ago
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    y - y1 = m (x - x1) y - y1 = (2/3) ( x - x1)

  26. pau08
    • 4 years ago
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    okey can i solve it?

  27. Directrix
    • 4 years ago
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    (x1,y1) be (2, -1) from above. y - (-1) = (2/3) ( x - 2)

  28. pau08
    • 4 years ago
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    oh, i change my mind i don't want to answer it

  29. Directrix
    • 4 years ago
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    We're almost finished. I'll finish if you have to go.

  30. pau08
    • 4 years ago
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    i'll have to go now eh... can we finish it now??

  31. Directrix
    • 4 years ago
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    y - (-1) = (2/3) ( x - 2) y + 1 = 2/3 (x - 2) multiply both sides by 3 3(y + 1) = (3) (2/3) (x-2)

  32. Directrix
    • 4 years ago
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    3y +3 = 2 (x-2) 3y + 3 = 2x - 4

  33. pau08
    • 4 years ago
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    transpose it, right?

  34. Directrix
    • 4 years ago
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    Yes, thought you left, :) 3y = 2x - 7

  35. pau08
    • 4 years ago
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    so the answer id -2x+3y=-4-3

  36. pau08
    • 4 years ago
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    the final answer is 2x-3y=7

  37. Directrix
    • 4 years ago
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    y = (2/3) x - 7/3 in y = mx + b form where m is the slope and (-7/3) is the y-intercept.

  38. Directrix
    • 4 years ago
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    Look at the cool graph: http://www.wolframalpha.com/input/?i=line+%282%2C-1%29+and+%28-4%2C-5%29+

  39. Directrix
    • 4 years ago
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    One last word. There is no quick and short way to learn math but once you do learn it, you will be proud of yourself.

  40. Directrix
    • 4 years ago
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    Just takes practice like anything else. :)

  41. pau08
    • 4 years ago
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    haha....thanks for your help.......what is the answer?

  42. Directrix
    • 4 years ago
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    y = (2/3) x - 7/3

  43. pau08
    • 4 years ago
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    ah...........T.Y.P

  44. Directrix
    • 4 years ago
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    Glad to help.

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