1. Given AB with A(-4, -1) and B(4. 5). if P lies on AB and partitions it such that the ratio of AP to PB is 1:3, find the coordinates of P.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
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- Now, x
Clever | Portal
W Grades
Student Inforn
es/1188493/assignments/22989668
dx
4 Q1S 12QS
JUDIILLIT15
a LCAL CITLI y DUA ur a Tme uprvau
TUIIILS
- Feb 26 at 11:59pm 2 days
Date:
1. Given AB with A(-4, -1) and B(4. 5). if P lies on AB and
partitions it such that the ratio of AP to PB is 1:3, find the
coordinates of P.
2. Given JI with J(-9 -5) and L(5. 16). if K lies on JL and
partitions it such that the ratio of JK to KL is 2:5, find the
coordinates of K.
3. Given C(7, 4) and D(-2 1) find the coordinates of the pont
that divides CD two-thirds of the way from C to D.
Transcribed Image Text:- Now, x Clever | Portal W Grades Student Inforn es/1188493/assignments/22989668 dx 4 Q1S 12QS JUDIILLIT15 a LCAL CITLI y DUA ur a Tme uprvau TUIIILS - Feb 26 at 11:59pm 2 days Date: 1. Given AB with A(-4, -1) and B(4. 5). if P lies on AB and partitions it such that the ratio of AP to PB is 1:3, find the coordinates of P. 2. Given JI with J(-9 -5) and L(5. 16). if K lies on JL and partitions it such that the ratio of JK to KL is 2:5, find the coordinates of K. 3. Given C(7, 4) and D(-2 1) find the coordinates of the pont that divides CD two-thirds of the way from C to D.
Expert Solution
Step 1

The coordinates of the point M(x,y) which divides the line segment joining points P(x1 , y1 ) and Q(x2 , y2 ) internally in the ratio m:n are mx2+nx1m+n,my2+ny1m+n.

The given line segment is the joining of the two points A(-4,-1) and B(4, 5).

The point P lies on the line AB and divides it in the ratio 1:3.

 

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