1. Math 083 9/7/11
Survey and Chapter 3
Quiz on Chapter 2 Monday

2. CRN

3. What you need to know Chapter 3
Graphing
Points
Lines
Standard Form
Y-Intercept Form
Point Slope Form
Function Notation
Slopes
Parallel and Perpendicular line

4. Solve for Y
1. 2x + 4y = 5
2. (1/2)y – 2x = 7
3. Ax + By = C

5. Students will write equation in slope intercept form.

6. Rate of Change / SLOPE

7. Slope Intercept form of a line
Y = mx + b

8. Slope Intercept form of a line
Y = mx + b
m = slope

9. Slope Intercept form of a line
Y = mx + b
b= y-intercept

10. b= y-intercept
Where the graph crosses the y-axis. The point is (0,b)

11. Slope Intercept form of a line
Y = mx + b
m = slope
b= y-intercept

12. Write the equation in slope intercept form
1. m = 4 and b = 3
2. m = -2 and b = 5
3. m = ½ and b = 8

13. 1. (0, 3) and (2, -1) 2. (-3, 0) and (-4, 6) 3. (1, -1) and (10, -13)
Find the slope
1. (0, 3) and (2, -1)
2. (-3, 0) and (-4, 6)
3. (1, -1) and (10, -13)

14. Now lets write the equation in slope intercept form.
1. (0, 3) and (2, -1)
2. (-3, 0) and (-4, 6)
3. (1, -1) and (10, -13)

15. Find the slope:
1. (5, 1) (6,2)
2. y – x = – 8
3. 2x – 3y = 9
4. 2y = – 3x – 8

16. Point Slope Form
y - y1= m (x -x1)

17. Point Slope Form
y - y1= m (x -x1)
(x1, y1)

18. Point Slope Form
y - y1= m (x -x1)
m= slope

19. Given the point (-1, 5) and the slope is -3
Examples
Given the point (-1, 5) and the slope is -3

20. Point Slope Form
y - y1= m (x -x1)
(-1, 5)

21. Point Slope Form
y – (5)= m (x –(-1))
m= -3

22. Point Slope Form
y – (5)= -3 (x –(-1))
m= -3

23. Simplify and solve for y
Point Slope Form
y – (5)= -3 (x –(-1))
Simplify and solve for y

24. Point Slope Form
y –5 = -3 (x +1)
Simplify and solve for y

25. Point Slope Form
y –5 = -3 (x +1)
y-5 = -3x - 3 +5 +5

26. Point Slope Form
y –5 = -3 (x +1)
y-5 = -3x - 3
y = -3x +2

27. You try
1. (1, 3) ; m = -2
2. (-1, -2) ; m 3
3. (8 , -3) ; m = 3/4

28. Writing an Equation of a Line
With a Calculator
Go to STAT and EDIT
Put x-values in L1 & y-values in L2
Quit
Return to STAT over to CALC and choose LinReg
Write equation in correct form
Without a Calculator
Find the slope
Pick a point
Plug slope and point into point slope form of a line
Finally put in correct form

29. Parallel Lines
Have equal slopes!!!!!!!!!

30. Have opposite reciprocal slopes?????????
Perpendicular Lines
Have opposite reciprocal slopes?????????

31. Have opposite reciprocal slopes?????????
Perpendicular Lines
Have opposite reciprocal slopes?????????

32. Have opposite reciprocal slopes?????????
Perpendicular Lines
Have opposite reciprocal slopes?????????

33. 3-5 #’s 1-5 odd, 13-19 odd, 21-29 odd, 41-51 odd
HW Due Monday
Test Chapter 3
3-4 #’s 1-17 odd, odd, odd
3-5 #’s 1-5 odd, odd, odd, odd

35. Y = mx + b

36. b=
Where the graph crosses the y-axis. The point is (0, )

37. Point Slope Form
y - y1= m (x -x1)

38. Parallel Lines

39. Perpendicular Lines