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**Partitioning of Line Segments**

1-Variable And 2-Variable

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**Find a Point that Partitions a Segment in a Given Ratio a:b (1 variable)**

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**a: the first part of the ratio**

b: the second part of the ratio X1: first x value given X2: second x value given

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**Partition – 1 Variable 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. a: b:

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**Partition – 1 Variable A is at -6 and B is at 4.**

Find the point, T, so that T is A to B in a 2:3 ratio. a: b:

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**Find a Point that Partitions a Segment in a Given Ratio a:b 2 Variables**

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**a: the first part of the ratio b: the second part of the ratio**

X1: first x-value given y1: first y-value X2: second x-value given y2: second y-value

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**Find the coordinates of P along the directed line segment AB so that the ratio of AP to PB is 3:2.**

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. To find the coordinates of point P… a: b:

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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); : 1. a: b:

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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. a: b:

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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); : 4. a: b:

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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. a: b:

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CW/HW

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AB 11 22 33 44 55 66 77 88 99 10 20 19 18 17 16 15 14 13 12 11 21 22 23 24 25 26 27 28.

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