Point dividing the line segment AB in the ratio of 1 : 4 will have the coordinates as (15, 12)
Coordinates of a point dividing a segment in two parts:
- If a point (h, k) divides a segment having extreme ends (x₁, y₁) and (x₂, y₂) in the ratio of m : n, coordinates of the point will be,
[tex]h=\frac{mx_2+nx_1}{m+n}[/tex], [tex]k=\frac{my_2+ny_1}{m+n}[/tex]
If a segment having extreme ends A(7, -2) and B(47, 68) is divided by a point P(h, k) in the ratio of 1 : 4
h = [tex]\frac{1(47)+4(7)}{1+4}[/tex]
h = 15
k = [tex]\frac{1(68)+4(-2)}{1+4}[/tex]
k = 12
Therefore, coordinates of the point dividing the segment AB in the ratio of 1 : 4 will be (15, 12).
Learn more about the ratios of a directed line segment here,
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