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DMR #7
1. Solve for p 2. Solve for x
14 = -(p – 8) 2(4x – 3) – 8 = 4 + 2x
Unit 11.4 The Coordinate PlaneDay 1: Midpoint Formula
Coordinate Plane
Origin (0,0)
Midpoint Formula
The coordinates of the midpoint M of AB with endpoints A(x1, y1) and B(x2, y2) is:
)2
,2
( 2121 yyxxM
Q (3, 5)
S (5, -3)
Example 1
QS has endpoints Q(3, 5) and S(5, -3). Find the coordinates of its midpoint M.
Try!! Find the coordinates of the midpoint of XY with endpoints X(2, -5) and Y(6, 13).
Example 2
QS has endpoints Q(9, -1) and S(2, 4). Find the coordinates of its midpoint M.
Try!! Find the coordinates of the midpoint of XY with endpoints X(0, 10) and Y(-2, 7).
Example 3
The midpoint of AB is M(3, 4). One endpoint is A(-3, -2). Find the coordinates of the other endpoint B.
Challenge!!
The midpoint of XY has coordinates (4,-6). X has coordinates (2, -3). Find the coordinates of Y.
Homework
#1-5 (label on the same coordinate plane), 12, 13, 14, 15, 18, 19
DMR #8
1. Solve for x. 2. Solve for n.
8x – 3 = 5(2x + 1) 5n + 4 = 7(n + 1) – 2n
Homework Answers
1-5. 12. (5, 5) 13. (1/2, 1)14. (10.5, -5) 15. (-2.5, 6)
18. (5, -2) 19. (4, 10)
A
D
E B
C
Unit 11.4 The Coordinate PlaneDay 2: Distance Formula
Distance Formula
The distance d between two points A(x1, y1) and B(x2, y2) is:
d = √(y2 - y1)2 + (x2 - x1)2
T (5, 2)
R (-4, -1)
Example 1
AB has endpoints A(4, 10) and B(6, 5). Find AB to the nearest tenth.
Try
Find the distance between T(9, 1) and R(2, 8) to the nearest tenth.
Example 2
Find the distance between T(5, -2) and R(-4, 1) to the nearest tenth.
Try
AB has endpoints A(1, -3) and B(-4, 4). Find AB to the nearest tenth.
Challenge!!Each morning Juanita takes the “Blue Line”
subway from Oak Station to Jackson Station. Oak Station is 1 mile west and 2 miles south of the center of the city. Jackson Station is 2 miles east and 4 miles north of the center of the city. Find the distance Juanita travels between Oak Station and Jackson Station.
Homework
#6, 7, 8, 9, 10, 11
DMR #9
1. Solve for x 2. Solve for a
-(7 – 4x) = 9 24a – 22 = -4(1 – 6a)
DMR #10
1. Solve for q. 2. Solve for r.
3 – 4q = 10q + 10 7 – 3r = r – 4(2 + r)