Using proportions, it is found that the coordinates of point Y are given as follows: Y(4.67, 1).
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.
Researching this problem on the internet, the coordinates of C and D are given as follows:
C(2,2) and D(10,-1).
The ratio of DY to YC is 2:1, hence:
Y - C = 1/3(D - C)
For the x-coordinate, we have that:
x - 2 = 1/3(10 - 2)
x - 2 = 8/3
x = 4.67.
The y-coordinate is given as follows:
y - 2 = 1/3(-1 - 2)
y - 2 = -1
y = 1.
The coordinates of point Y are given as follows: Y(4.67, 1).
More can be learned about proportions at https://brainly.com/question/24372153
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