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Math Help - find slope

  1. #1
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    find slope

    Please help on finding:

    the slope of the given points:
    1.) (3/4 , -2) ; (2 , 2/3)
    2.) (0 , 2/3) ; (3 , 0)

    the equation of the line with two given points:

    1.) (3/4 , 0) ; (0 , 4/3)
    2.) (3/5 , 2) ; (5 , 2/3)



    thanks, ;-)
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Aussieboy View Post
    Please help on finding:

    the slope of the given points:
    1.) (3/4 , -2) ; (2 , 2/3)
    2.) (0 , 2/3) ; (3 , 0)
    The slope of a line is given by the formula:
    m = (y2 - y1)/(x2 - x1)

    So for problem 1:
    m = (2/3 - -2)/(2 - 3/4) = (2/3 + 2)/(2 - 3/4) = (2/3 + 6/3)/(8/4 - 3/4) = (8/3)/(5/4) = 32/15

    You do the second one. I get m = -2/9.

    -Dan
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Aussieboy View Post
    Please help on finding:
    the equation of the line with two given points:

    1.) (3/4 , 0) ; (0 , 4/3)
    2.) (3/5 , 2) ; (5 , 2/3)
    A standard for the form of a line is the slope-intercept form:
    y = mx + b
    where m is the slope of the line and b is the y-intercept: the point (0, b).

    For the first problem we have a slope of:
    m = (4/3 - 0)/(0 - 3/4) = (4/3)/(-3/4) = -16/9

    So we know that the line is of the form:
    y = -(16/9)x + b

    Consider our first point on this line: (3/4, 0). Inserting this point into our line equation gives us:
    0 = -(16/9)(3/4) + b

    Solving for b:
    0 = -(4/3) + b
    b = 4/3

    Thus the line is
    y = -(16/9)x + (4/3)

    You do the second one. I get that y = -(10/33)x + (24/11)

    -Dan
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