1. Warm–up #1

2. Warm–up #1 Solutions 1. Find midpoint between (a, b) & (b, a)

3. Warm–up #1 Solutions

4. Homework Log Thurs 10/29 Lesson 3 – 1 Learning Objective: To find slope & graph equations Hw: #302 Pg. 168 #31 – 63 odd

5. 10/29/15 Lesson 3 – 1 Graphing Linear Equations Day 2 Advanced Math/Trig

6. Learning Objective To find slope of a line given an equation To find missing coordinate given slope To find missing coordinate of collinear points To determine whether four given points are vertices of a parallelogram To sketch a graph of equations

7. Given Ax + By = C, find slope Or get into y = mx + b 4x – 2y = 20 –4x –2y = –4x + 20 –2 –2 –2 y = 2x – 10

8. Find slope 2. x – 7 = 0 Since no y, just solve for x x = 7 Vertical line Slope is undefined 3. y = –2 Horizontal line Slope = 0

9. Applying Midpoint Set each coordinate part = to each other

10. Applying Slope –3(x+2) = 1(–15) –3x – 6 = –15 –3x = –9x = 3

11. Make a table and plug values into y and solve for x y x Sketch the graph │ –2 │ –1 │ –1 │ – 1 │ 0 │ – 1 │ 1 │ –1 │ 2 │ – 1 –2 –1 0 1 2 1 0 0 1 x │ y │ – 1y

12. y x Sketch the graph Plug values into y & solve for x –2 –1 0 1 2 yy 2 + 1x (–2) 2 + 1 (–1) 2 + 1 (0) 2 + 1 (1) 2 + 1 (2) 2 + 1 5 2 1 2 5

13. Parallelogram To determine vertices of Parallelogram: Sketch a graph Show Opp. Sides are parallel → same slope

14. Determine whether the four given points are vertices of a parallelogram. 8. (–1, 1), (–2, –1), (1, –4), (0, –6) DON’T ASSUME that you know which points make opposite sides and you need to find the slope for. Always sketch a graph!

15. Determine whether the four given points are vertices of a parallelogram.

16. #8 Continued

17. Word Problem 9. The trade in value V of a forklift machine after t years of use is V = 16000 – 2000t dollars. Graph this equation with appropriate restrictions on the variables. Value (y) won’t go below 0, depends on years (x), which also won’t go below 0. Graph by finding y – intercept & x – intercept.

18. #9 continued 9. V = 16000 – 2000t dollars y = –2000x + 16000 (0, 16000) & (8, 0) 16000 8 time value

19. Ticket Out the Door Determine whether the four given points are vertices of a parallelogram. (2, 4), (3, 8), (1, –8), (4, 4) Explain why or why not.

20. Homework #302 Pg. 168 #31 – 63 odd