SOLUTION: find the coordinates of the point P that lies along the directed line segment from A(3,4) TO B(6,10) and partitions the segment in the ratio 3 to 2

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Question 1009558: find the coordinates of the point P that lies along the directed line segment from A(3,4) TO B(6,10) and partitions the segment in the ratio 3 to 2
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
find the coordinates of the point that lies along the directed line segment from A(,) TO B(,) and partitions the segment in the ratio
To find the point that divides a segment into a particular ratio, determine the ratio by writing the numerator over the sum of the numerator and the denominator of the given ratio. Next, find the rise and the run (slope) of the line. Finally, add to the x-coordinate of and add to the y-coordinate of . This process is summarized with the following formula.

(,)=(,)
so,
the ratio => partitions the segment into congruent pieces
the slope of is
find the coordinates of the point ,
add of the run to the x-coordinate of point
and of the rise to the y-coordinate of point
run:
rise:
so, the coordinates of the point are:

(,)
(,)
the ratio of is

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