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Sagot :
Answer
The coordinates of the point that divides the coordinates given into ratio 2 to 1 = (2, 2)
Explanation
Mathematically, if a point P(x, y) divides the coordinates (x₁, y₁) and (x₂, y₂) internally in the ratio m:n then point P(x, y) is given as
x = [(mx₂ + nx₁)/(m + n)]
y = [(my₂ + ny₁)/(m + n)]
For this question,
(x₁, y₁) and (x₂, y₂) is (-6, -10) and (6,8)
x₂ = 6
x₁ = -6
y₂ = 8
y₁ = -10
m = 2
n = 1
x = [(mx₂ + nx₁)/(m + n)]
x = [(2×6 + 1×-6)/(2 + 1)]
x = (6/3) = 2
y = [(my₂ + ny₁)/(m + n)]
y = [(2×8 + 1×-10)/(2 + 1)]
y = (6/3) = 2
Hence, the coordinates of the point that divides the coordinates given into ratio 2 to 1 = (2, 2)
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