Using proportions, it is found that the coordinates of the point P that divides the segment in a 3:5 ratio are: (4,0).
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the 3:5 ratio that divides the segment, we have the following equation:
[tex]P - A = \frac{3}{8}(B - A)[/tex]
For the x-coordinate, we have that:
[tex]x - 1 = \frac{3}{8}(9 - 1)[/tex]
x - 1 = 3
x = 4.
For the y-coordinate, we have that:
[tex]y + 6 = \frac{3}{8}(10 + 6)[/tex]
y + 6 = 6
y = 0.
Hence the coordinates are (4,0).
More can be learned about proportions at https://brainly.com/question/24372153
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