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**Warm up A is at -1, and B is at -7.**

Find the point, T, so that T partitions A to B in a 2:1 ratio.

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**Warm up - 2 A is at -2, and B is at -7.**

Find the point, T, so that T partitions A to B in a 2:1 ratio.

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Review HW

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

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Find the coordinates of P along the directed line segment AB so that the ratio of AP 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 or 5 congruent pieces.

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

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

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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.

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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.

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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.

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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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CW/HW New York Task

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Partition Line Segments (2 Dimensions)

Partition Line Segments (2 Dimensions)

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