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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. Warm up.

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Presentation on theme: "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. Warm up."— Presentation transcript:

1 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. 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. Warm up - 2

3 Review HW

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

5 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.

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

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

8 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.

9 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.

10 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.

11 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.

12 New York Task CW/HW


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