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Math Help - Equation of a line

  1. #1
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    Question Equation of a line

    Write the equation of the line that contains the specified points in the form ax+by=c, where a and b are integers.

    1. (5,-5) and (2,4)

    Thanks so much for any help!
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by live_laugh_luv27 View Post
    Write the equation of the line that contains the specified points in the form ax+by=c, where a and b are integers.

    1. (5,-5) and (2,4)

    Thanks so much for any help!
    Hello live_laugh_luv27,

    You know you have to find the slope of the line containing those two points, don't you?

    m=\frac{y_2=y_1}{x_2-x_1}

    Do that first. Next, use the point-slope form of the linear equation and do some substituting.

    y-y_1=m(x-x_1)

    You know what the slope (m) is from the formula above, right?

    Use one of your points to substitute in for x_1 and y_1.

    Move things around until you get it in your desired standard form:

    ax+by=c where c is a constant.

    Good luck.
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  3. #3
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    Quote Originally Posted by live_laugh_luv27 View Post
    Write the equation of the line that contains the specified points in the form ax+by=c, where a and b are integers.

    1. (5,-5) and (2,4)
    Well, what have you done?
    Tell us the slope of this line.
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  4. #4
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    Post Thanks

    Thanks so much!
    Sorry it took so long...
    but I came up with y = -3x + 10, and switched it around to get 3x + y = 10. So, I got a = 3 and b = 1.
    Is this correct? Thanks again!
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  5. #5
    A riddle wrapped in an enigma
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    Quote Originally Posted by live_laugh_luv27 View Post
    Thanks so much!
    Sorry it took so long...
    but I came up with y = -3x + 10, and switched it around to get 3x + y = 10. So, I got a = 3 and b = 1.
    Is this correct? Thanks again!
    You are the man!! Correctamundo!.
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