Using proportions, the coordinates of P are given as follows: (2, 6.4).
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
P partitions the segment AB in the ratio 2:3, hence the following proportion can be established:
P - A = 2/5(B - A).
Applying the ratio for the x-coordinate, we have that:
x - (-2) = 2/5(8 - (-2))
x + 2 = 2/5(10)
x + 2 = 4
x = 2.
For the y-coordinate, we have that:
y - 4 = 2/5(10 - 4)
y - 4 = 2.4
y = 6.4.
The coordinates of P are given as follows: (2, 6.4).
More can be learned about proportions at https://brainly.com/question/24372153
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