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Find a Point that Partitions a Segment in a Given Ratio a:b

Find a Point that Partitions a Segment in a Given Ratio a:b. Find the coordinates of P along the directed line segment AB so that the ratio of AB to PB is 3 to 2. In order to divide the segment in the ratio of 3 to 2 , think of dividing the segment into 3 + 2 or 5 congruent pieces. .

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Find a Point that Partitions a Segment in a Given Ratio a:b

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  1. Find a Point that Partitions a Segment in a Given Ratio a:b

  2. Find the coordinates of P along the directed line segment AB so that the ratio of AB to PB is 3 to 2. In order to divide the segment in the ratio of 3 to 2, think of dividing the segment into 3 + 2 or 5 congruent pieces.

  3. A(3, 4), B(6, 10); 3 to 2. 3 AB has a rise of 6. 6 AB has a run of 3.

  4. A(3, 4), B(6, 10); 3 to 2. To find the coordinates of point P… 3 6

  5. Example 1: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(1, 3), B(8, 4); 4 to 1.

  6. Example 2: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-2, 1), B(4, 5); 3 to 7.

  7. Word Problem

  8. Example 3: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(8, 0), B(3, -2); 1 to 4.

  9. Example 4: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-2, -4), B(6, 1); 3 to 2.

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