Consider RS endpoints R(-2,1) and S(4,4) Find point Q that is 2/3 away NEED THIS ASAP PLEASE ANSWER

The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.

The point Q is (2,3)

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)

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step-by-step explanation:

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