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)