find the ratio in which the line segment joining the point 5,-6and -1,-4 I’d divided by y axis​

find the ratio in which the line segment joining the point 5,-6and -1,-4 I’d divided by y axis​

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Samantha

2 thoughts on “find the ratio in which the line segment joining the point 5,-6and -1,-4 I’d divided by y axis​”

  1. Answer:

    5:1

    Step-by-step explanation:

    Let the ratio be [tex]k:1[/tex]

    Since it is cut by y axis, the x- coordinate of the y axis is 0.

    Let the point on the y axis be [tex](0,y)[/tex]

    By section formula,

    [tex]x = \frac{mx2+nx1}{m+n}[/tex] when a line segment joining the point (x1,y1) and (x2,y2) is divided by (x,y) in the ratio of m:n

    P(5,-6)

    Q(-1,-4)

    [tex]0=\frac{k(-1)+1(5)}{k+1}\\0=5-k\\k=5[/tex]

    The ratio of division is 5:1

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