Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7) when the start point is (8, 5) and the mid point is (3.5, -1).
A proportion refers to the fraction of the total amount, and the measures are related using a rule of three.
The midpoint of a segment refer to the mean of the coordinates of the endpoints, so we get that:
3.5 = (x + 8) / 2
x + 8 = 7
x = 7 - 8
x = - 1
-1 = (y + 5) / 2
y + 5 = -2
y = -2 - 5
y = - 7.
End point =- (-1, -7)
Therefore, using proportions, it is found that the coordinates of the other end of the fence are (-1,-7) when the start point is (8, 5) and the mid point is (3.5, -1).
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