Partitioning of Line Segments 1-Variable And 2-Variable

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

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

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:

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:

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

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

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 3 + 2 or 5 congruent pieces.

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

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:

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:

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:

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:

CW/HW