The Art of Partitioning a Line Segment!
- Formula for Partitioning:
If \(A(x_1, y_1)\) and \(B(x_2, y_2)\) are the endpoints of the segment, and we want to partition the segment in the ratio \(m:n\), the coordinates \((x, y)\) of point \(P\) are given by:
\( x = \frac{mx_2 + nx_1}{m+n} \)
\( y = \frac{my_2 + ny_1}{m+n} \)
Examples
- For the line segment with endpoints \(E(2,3)\) and \(F(10,7)\), determine the point that partitions the segment in the ratio \(3:2\).
- Partition the line segment with endpoints \(G(-1,2)\) and \(H(5,10)\) in the ratio \(4:1\).
Answers:
- \(P(6.8,5.4)\)
- \(P(3.8,8.4)\)
Original price was: $109.99.$54.99Current price is: $54.99.
Original price was: $109.99.$54.99Current price is: $54.99.
Original price was: $114.99.$54.99Current price is: $54.99.
Related to This Article
More math articles
- Ellipses, Parabolas, Hyperbolas: The Puzzle of The Family of Curves
- Overview of Middle-Level SSAT Mathematics Test
- Tips You MUST Know to Retake the Praxis Core Math Test
- How to Choose the Right Visual: Models for Multiplying Fractions by Whole Numbers
- How to Solve Parallel Lines and Transversals Problems? (+FREE Worksheet!)
- Using Decimals and Fractions to Solve One-Step Equations
- How to Graph Box Plot?
- A Step into The World of Calculus: Rules of Differentiation
- Ratio Tables
- Begin a Captivating Journey with “ATI TEAS 7 Math for Beginners”: The Ultimate Guide and Solutions Handbook
What people say about "The Art of Partitioning a Line Segment! - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.