1. DMR #7 1. Solve for p2. Solve for x 14 = -(p – 8) 2(4x – 3) – 8 = 4 + 2x

2. Unit 1 1.4 The Coordinate Plane Day 1: Midpoint Formula

3. Coordinate Plane Origin (0,0)

4. Midpoint Formula The coordinates of the midpoint M of AB with endpoints A(x 1, y 1 ) and B(x 2, y 2 ) is: Q (3, 5) S (5, -3)

5. 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).

6. 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).

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.

8. Challenge!! The midpoint of XY has coordinates (4,-6). X has coordinates (2, -3). Find the coordinates of Y.

9. Homework #1-5 (label on the same coordinate plane), 12, 13, 14, 15, 18, 19

10. DMR #8 1.Solve for x. 2. Solve for n. 8x – 3 = 5(2x + 1)5n + 4 = 7(n + 1) – 2n

11. 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

12. Unit 1 1.4 The Coordinate Plane Day 2: Distance Formula

13. Distance Formula The distance d between two points A(x 1, y 1 ) and B(x 2, y 2 ) is: d = √(y 2 - y 1 ) 2 + (x 2 - x 1 ) 2 T (5, 2) R (-4, -1)

14. Example 1 AB has endpoints A(4, 10) and B(6, 5). Find AB to the nearest tenth.

15. Try Find the distance between T(9, 1) and R(2, 8) to the nearest tenth.

16. Example 2 Find the distance between T(5, -2) and R(-4, 1) to the nearest tenth.

17. Try AB has endpoints A(1, -3) and B(-4, 4). Find AB to the nearest tenth.

18. 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.

19. Homework #6, 7, 8, 9, 10, 11

20. DMR #9 1. Solve for x2. Solve for a -(7 – 4x) = 924a – 22 = -4(1 – 6a)

21. DMR #10 1. Solve for q.2. Solve for r. 3 – 4q = 10q + 107 – 3r = r – 4(2 + r)