Example 4: A, B and Care collinear. Find the coordinates of C, such that .AB:BC is 3 to 1. a = Ax f B A fi 3 "slop !! Cis a

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.3: Lines
Problem 96E
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example 4 & 5!

Finding the End Point
Graphical Method
Example 4: A, B and C are collinear. Find the coordinates of C, such that .AB:BC is 3 to 1.
a =
-3-
Ax from A to B =
2-
Ay from A to B =
3
"slope"=
UMop jo dn
left or right
-3
-2
-1
2
A
%3D
6
C is at (
-21
Algebraic Method
bx1 + ax2
Xp
by1 + ay2
Yp
Partition Point Formulas
a + b
a +b
Example 5: Point B divides AC so that AB :BC = 5:2. If A has coordinates (2, -1) and B has coordinates (7, 4), What is the x
coordinate of C?
2.2+X2
a =
b =
+5
x1 D
7x4=4+5xex7
t.
28=4+5x2
y1% =
xp =
yp =
• Solve for x2
Your Turn!
Use the same numbers as example 5. V23D
Find the y coordinate of C.
You only need to show your answer.
2.
6.
2.
5.
Transcribed Image Text:Finding the End Point Graphical Method Example 4: A, B and C are collinear. Find the coordinates of C, such that .AB:BC is 3 to 1. a = -3- Ax from A to B = 2- Ay from A to B = 3 "slope"= UMop jo dn left or right -3 -2 -1 2 A %3D 6 C is at ( -21 Algebraic Method bx1 + ax2 Xp by1 + ay2 Yp Partition Point Formulas a + b a +b Example 5: Point B divides AC so that AB :BC = 5:2. If A has coordinates (2, -1) and B has coordinates (7, 4), What is the x coordinate of C? 2.2+X2 a = b = +5 x1 D 7x4=4+5xex7 t. 28=4+5x2 y1% = xp = yp = • Solve for x2 Your Turn! Use the same numbers as example 5. V23D Find the y coordinate of C. You only need to show your answer. 2. 6. 2. 5.
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