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Sagot :
The coordinates of the point dividing the join of given points will be equal to (1, 3).
If we need to find the coordinates of a point P(x, y) dividing the join of points (x₁, y₁) and (x₂, y₂) in the ratio m:n then the formula is expressed as
P(x, y) = [(mx₂ + nx₁/m + n), (my₂ + ny₁/m + n)]
We have the values as m:n = 2:3 and
(x₁, y₁) = (-1, 7) and (x₂, y₂) = (4, -3)
On using the above formula we get
P(x, y) = [2(4) + 3(-1)/2 + 3, 2(-3) + 3(7)/2 + 3]
P(x, y) = [(8 - 3)/5, (-6 + 21)/5]
P(x, y) = (1, 3) which is the required coordinate.
Learn more about Coordinates at:
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Complete Question:
Find the coordinates of the point which divides the join of (-1, 7) and (4, - 3) in the ratio 2 : 3.
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