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Math Help - Coordinated Geometry

  1. #1
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    Coordinated Geometry

    Given that A is the point (0,11), B is the point (8,5) and O is the origin , calculate
    How to find the,
    a) the coordinates of M , the mid point of AB,
    b) the gradient of OM,
    c) the lenght of the line AB,
    d) the equation of the line AB
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  2. #2
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    Quote Originally Posted by Sohail View Post
    Given that A is the point (0,11), B is the point (8,5) and O is the origin , calculate
    How to find the,
    a) the coordinates of M , the mid point of AB,
    From the average of the x coordinate and y coordinates.
    (8+0)/2=4 and (11+5)/2=8. Thus, the point is (4,8).
    b) the gradient of OM,
    Same as the slope of AB because it is part of the same line.
    Thus, (11-5)/(0-8)=(-6)/(-8)=3/4
    c) the lenght of the line AB,
    Use the distance formula,
    (0-8)^2+(11-5)^2=8^2+6^2=64+36=100
    But that is the square of the distance. Take the square root,
    10
    d) the equation of the line AB
    The y-intercept is 11 because you have (0,11) and x=0 at that point.
    Thus, the equation is,
    y=(3/4)x+11
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