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1-VariableAnd2-Variable. a: the first part of the ratio b: the second part of the ratio X 1 : first x value given X 2 : second x value given.

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Presentation on theme: "1-VariableAnd2-Variable. a: the first part of the ratio b: the second part of the ratio X 1 : first x value given X 2 : second x value given."— Presentation transcript:

1 1-VariableAnd2-Variable

2

3 a: the first part of the ratio b: the second part of the ratio X 1 : first x value given X 2 : second x value given

4  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:

5  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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7 a: the first part of the ratio b: the second part of the ratio X 1 : first x-value giveny 1 : first y-value X 2 : second x-value giveny2: second y-value

8  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.

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

10  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 : 1. a: b:

11  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:

12  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 : 4. a: b:

13  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:

14 CW/HW


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