SOLUTION: A line passes through A(1,1) and B(4,3). Find the coordinates of the point on the line which is 3 times as far from A s from B.

Question 964639: A line passes through A(1,1) and B(4,3). Find the coordinates of the point on the line which is 3 times as far from A s from B.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
In the x-direction, the distance from A to B is .
If the distance from A to point P is equal to 3x, the distance from P to B is equal to x.
Then the distance from A to B would be

So then starting at A,

Similarly for y, the y distance is

Again starting at A,

(,)

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