Find the coordinates of P so that P partitions AB in the ratio 2 to 3 with A (7, 2) and B (-8,9.5). E B Given the points A (-1, 8) and B (7, 10), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio 1:1. Given A (6, -10) and B (9,-1), find the coordinates of point P on AB so that P partitions AB in the ratio 1:2 (i.e., so that AP:PB is 1:2). F C Point A has coordinates (-9,-7). Point B has coordinates (3,8). Find the coordinates of point P that partition AB in the ratio 2:1. Find the coordinates of P so that P partitions AB in the ratio 1 to 3 with A (2, -6) and B (6,6). G D For the directed line segment whose endpoints are (4,3) and (-8, -5), find the coordinates of the point that partitions the segment into a ratio of 3 to 1. Given the points A (1, -0.5) and B (-9,7), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio 1:4. H Point A has coordinates (-4,-2). Point B has coordinates (6, 3). Find the coordinates of point P that partition AB in the ratio 3:2. J I For the directed line segment whose endpoints are (7,0.5) and (-0.5, 3), find the coordinates of the point that partitions the segment into a ratio of 4 to 1. Given A (-10, -3.5) and B (2,5.5), find the coordinates of point P on AB so that P partitions AB in the ratio 5:1 (i.e., so that AP:PB is 5:1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 74E
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Question
Find the coordinates of P so
that P partitions AB in the ratio
2 to 3 with A (7, 2) and
B (-8,9.5).
E
B
Given the points A (-1, 8) and
B (7, 10), find the coordinates of
the point P on the directed line
segment AB that partitions AB
in the ratio 1:1.
Given A (6, -10) and B (9,-1),
find the coordinates of point P
on AB so that P partitions AB in
the ratio 1:2 (i.e., so that AP:PB
is 1:2).
F
C
Point A has coordinates (-9,-7).
Point B has coordinates (3,8).
Find the coordinates of point P
that partition AB in the ratio
2:1.
Find the coordinates of P so
that P partitions AB in the ratio
1 to 3 with A (2, -6) and
B (6,6).
G
D
For the directed line segment
whose endpoints are (4,3) and
(-8, -5), find the coordinates of
the point that partitions the
segment into a ratio
of 3 to 1.
Given the points A (1, -0.5) and
B (-9,7), find the coordinates of
the point P on the directed line
segment AB that partitions AB
in the ratio 1:4.
H
Point A has coordinates (-4,-2).
Point B has coordinates (6, 3).
Find the coordinates of point P
that partition AB in the ratio
3:2.
J
I
For the directed line segment
whose endpoints are (7,0.5) and
(-0.5, 3), find the coordinates of
the point that partitions the
segment into a ratio
of 4 to 1.
Given A (-10, -3.5) and B (2,5.5),
find the coordinates of point P
on AB so that P partitions AB in
the ratio 5:1 (i.e., so that AP:PB
is 5:1).
Transcribed Image Text:Find the coordinates of P so that P partitions AB in the ratio 2 to 3 with A (7, 2) and B (-8,9.5). E B Given the points A (-1, 8) and B (7, 10), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio 1:1. Given A (6, -10) and B (9,-1), find the coordinates of point P on AB so that P partitions AB in the ratio 1:2 (i.e., so that AP:PB is 1:2). F C Point A has coordinates (-9,-7). Point B has coordinates (3,8). Find the coordinates of point P that partition AB in the ratio 2:1. Find the coordinates of P so that P partitions AB in the ratio 1 to 3 with A (2, -6) and B (6,6). G D For the directed line segment whose endpoints are (4,3) and (-8, -5), find the coordinates of the point that partitions the segment into a ratio of 3 to 1. Given the points A (1, -0.5) and B (-9,7), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio 1:4. H Point A has coordinates (-4,-2). Point B has coordinates (6, 3). Find the coordinates of point P that partition AB in the ratio 3:2. J I For the directed line segment whose endpoints are (7,0.5) and (-0.5, 3), find the coordinates of the point that partitions the segment into a ratio of 4 to 1. Given A (-10, -3.5) and B (2,5.5), find the coordinates of point P on AB so that P partitions AB in the ratio 5:1 (i.e., so that AP:PB is 5:1).
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