2. Bellringer

3. WE WILL LEARN

5. USE TABLES ALWAYS!!! XY INDEPENDENT DOMAIN INPUT

6. Most of the equations we deal with from now on are LINEAR equations All linear equations (except vertical lines) have a slope.

7. When asked to graph… solve the equation for y, and then use the slope, and the y-intercept OR…you can plug in a number for x (independent) and get a number for y (dependent) and then you have (x, y) to put on your graph.

8. Use slope intercept form to set up tables or make a graph

9. Let’s try some…Graph

15. Definition of Slope The slope of the line through the distinct points (x 1, y 1 ) and (x 2, y 2 ) is where x 2 – x 1 = 0. Definition of Slope The slope of the line through the distinct points (x 1, y 1 ) and (x 2, y 2 ) is where x 2 – x 1 = 0. Change in y Change in x = Rise Run = y 2 – y 1 x 2 – x 1 (x 1, y 1 ) x1x1 y1y1 x2x2 y2y2 (x 2, y 2 ) Rise y 2 – y 1 Run x 2 – x 1 x y

16. Honors HW 2.2 page 67-69 9, 10, 34, 36, 46, 48, 61, 80, 81, 82

17. HW Section 2.2 page 67-68 2-8 even, 32-36 even, 42-46 even

18. Bellringer

19. Day Two Point slope form (how to write your own equations)

22. Let’s find the slope of the line that connects these two points

23. m = -1 m = 3/6, but better to write m = 1/2

24. Do one of these

25. If you are asked to write an equation, use point slope form

26. When I say, “what two things do you need to write an equation” You say, “A point and a slope

27. Write an equation for the line through this pair of points

31. Positive Slope x y m > 0 Line rises from left to right. Zero Slope x y m = 0 Line is horizontal. m is undefined Undefined Slope x y Line is vertical. Negative Slope x y m < 0 Line falls from left to right.

32. Equation of a Vertical Line A vertical line is given by an equation of the form x = a EX: where a is the x-intercept.

33. Equation of a Horizontal Line A horizontal line is given by an equation of the form y = b, EX: where b is the y-intercept.

35. Parallel Lines Have the Same Slope!!!

37. Perpendicular Slopes are Opposite (one positive and one negative) and Reciprocals (flips of each other)

38. Write the equation for the line:

42. HW Section 2.2 p. 68 26-31, 51, 53, 66, 68

43. Honors HW 2.2 p. 68 28, 30, 66, 68, 85 - 90