Notes - Partitioning a Line Segment.notebook, Exams of Calculus

Partitioning Line Segments in One Dimension. Formula for Partitioning a Line Segment with a ratio of m:n. Where x1 is the left most xvalue.

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2022/2023

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NotesPartitioningaLineSegment.notebook
1
April23,2013
PartitioningaLineSegment
PartitioningLineSegmentsinOneDimension
FormulaforPartitioningaLineSegmentwitharatioofm:n
Wherex
1
istheleftmostxvalue
x
2
x
1
isthedifferenceinthexvaluesand
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 is at 6 and B is at 4.
Find the point, T, so that T is A to B in a 2:3 ratio.
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Partitioning a Line Segment

Partitioning Line Segments in One Dimension

Formula for Partitioning a Line Segment with a ratio of m:n

Where x 1 is the left most xvalue

x 2 x 1 is the difference in the x values and

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 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 is at 8 and B is at 2. Find the point, T, so that T is A to B in a 1:4 ratio.

Partitioning Line Segments in 2

Dimensions

For line segment AB with endpoints A (x1, y 1 ) and B(x2, y 2 ), to find the ratio of m:n, or lies k of the way from A to B. Find the point Q that partitions BA in a ratio of 1:3. Where B is (1, 5) and A is (5, 3).