Given the points J(4,-7) and L(-2,13), find the coordinates of point k on JL such that the ratio of jk is 1:4

Question

Given the points J(4,-7) and L(-2,13), find the coordinates of point k on JL such that the ratio of jk is 1:4

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Ladonna 6 months 2021-08-10T14:57:43+00:00 1 Answers 0 views 0

Answers ( )

  1. Philomena
    0
    2021-08-10T14:59:06+00:00
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    Answer:

    The coordinates of point k are (-2.8,-3)

    Step-by-step explanation:

    we shall use the internal division formula to find the coordinates of point k

    Mathematically, the formula is as follows;

    Let’s call the coordinates of point k (x,y)

    (x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)

    From the question;

    m = 1 , n = 4

    x1 = 4, x2= -2

    y1 = -7 , y2 = 13

    Substituting these values in the equation, we have the following;

    1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)

    (-2+16)/5, (13 -28)/5

    = -14/5, -15/5

    = (-2.8, -3)

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