Coordinates of point which partitions a directed line segment AB at the ratio of a:b from A(x1,yı) to B(x, y2) bx, + ax2 by, + ay2 (х, у) %3D b +a b + a OR a (x, y) = (x, + (x, – x). Y, + a + b a %3D a + b

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 16E
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Point A partitions directed lines segment JM into a ratio of 5:1. Point M(-8,4) is in Quadrant 2. Point J(3,-9) is located in Quadrant 4. What is the value of b?
Coordinates of point which partitions a
directed line segment AB at the ratio of
a:b from A(x1.yı) to B(x2 y2)
bx, + ax2 byı + ay2
(x, y) =
%3D
b+a
b + a
OR
(ועד:0
a
(x, y) = (x, + x-x), y, + -y))
a
a + b
a +b 02-y)
Transcribed Image Text:Coordinates of point which partitions a directed line segment AB at the ratio of a:b from A(x1.yı) to B(x2 y2) bx, + ax2 byı + ay2 (x, y) = %3D b+a b + a OR (ועד:0 a (x, y) = (x, + x-x), y, + -y)) a a + b a +b 02-y)
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