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Question 1191934: A line passes through A(-2, 1) and B(3, 4). Find the point P on AB extended through B so that P is twice as far from A as from B. (b) the point Q on AB extended through B so that P is twice as far from B as from A.
Answer by ikleyn(52903)   (Show Source):
You can put this solution on YOUR website! .
A line passes through A(-2, 1) and B(3, 4).
(a) Find the point P on AB extended through B so that P is twice as far from A as from B.
(b) the point Q on AB extended through B so that P is twice as far from B as from A.
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(a) From A to B, there are 5 units along x-axis and 3 units along y-axis.
Hence, to get point P, you should move 5 units along x-axis from B
and 3 units along y-axis from B.
Thus the destination point P is P = (3+5,4+3) = (8,7). ANSWER
(b) Such point Q does not exist.
(simply because AQ is always longer than BQ).
Solved.
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