Respuesta :
The coordinates of a point on the directed segment from (3,-2) to (8,0) that divides it into a ratio of 3:1 is (6.75, -0.5). The correct option is A.
What are coordinates?
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Let the line be represented as AB, therefore, the coordinates of points A and B are (3,-2) and (8,0), respectively. The coordinate of the point m that divides the line AB in a ratio of 3:1 is,
x = [(x₂×m)+(x₁×n)]/(m+n)
x = [(8×3)+(3×1)]/(3+1)
= (24+3)/4
= 6.75
y = [(y₂×m)+(y₁×n)]/(m+n)
y = [(0×3)+(-2×1)]/(3+1)
= (0-2)/4
= -0.5
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