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Answer:
(11, -13)
Step-by-step explanation:
A is at (3, -5) and B is at (13, -15)
A point that is ⅘ of the way from A to B also divides the differences of the x-and y-coordinates in the same ratio.
For the x-coordinate,
x₂ - x₁ = 13 - 3 = 10
⅘ × 10 = 8
3 + 8 = 11
The x-coordinate of the point is x = 11.
For the y-coordinate,
y₂ - y₁ = -15 - (-5) = -15 + 5 = -10
⅘ × (-10) = -8
-5 + (-8) = -13
The y-coordinate of the point is at y = -13.
The coordinates of the point are then (11, -13).
The diagram below shows the point ⅘ of the way from A to B.
