The midpoint of chord AB is ( , ), and the slope of chord AB is

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The midpoint of chord AB is ( , ), and the slope of chord AB is

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Sapo 3 years 2021-08-18T00:25:35+00:00 1 Answers 7 views 0

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    2021-08-18T00:27:32+00:00

    Answer:

    See solution below

    Step-by-step explanation:

    Let the coordinate’s of A and B be (1, 0) and (2,4) respectively

    midpoint M (X, Y) = [(x1+x2/2, y1+y2/2)]

    X = x1+x2/2

    X = 1+2/2

    X = 3/2

    X = 1.5

    Y = y1+y2/2

    Y = 0+4/2

    Y = 4/2

    Y = 2

    Hence the required midpoint (X, Y) is (1.5, 2)

    Slope m = y2-y1/x2-x1

    m = 4-0/2-1

    m = 4/1

    m = 4

    Hence the slope is 4

    Note that the coordinates are assumed but the same calculation can be employed for any other coordinates

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