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<u>The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.</u>
Answer:
<em>The point Q is (2,3)</em>
Step-by-step explanation:
Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).
The required point Q must satisfy the relation:
d(RQ) = 2/3 d(RS)
Where d is the distance between two points.
The horizontal and vertical axes also satisfy the same relation:
x(RQ) = 2/3 x(RS)
And, similarly:
Working on the first condition:
Removing the parentheses:
Adding 2:
x = 2
Similarly, working with the vertical component:
Removing the parentheses:
Subtracting 1:
y = 3
The point Q is (2,3)