1. Graphing Linear Equations and Functions
Chapter 4 Notes
Graphing Linear Equations and Functions

2. 4.1 Coordinates and Scatter Plots
Objectives:
-Plot points in a coordinate plane
-Draw scatter plots and make predictions about the data

3. Terms
Coordinate Plane
Ordered pair
X-coordinate
Y-coordinate

4. Labeling the Coordinate plane

5. Plotting Points
Plot the following points
(0,3)
(-2, -1)
(2,0)
(4,5)

6. Locating Quadrants Find the quadrant of the following points (0,3)
(-2, -1)
(2,0)
(4,5)

7. Making a Scatter Plot

8. 4.2 Graphing Linear Equations Part1
Objectives:
-Make a list of values for a given equation

9. Terms
Solution of an Equation
Function Form

10. Function Form Rewrite the equations in function form (y=mx+b)
-3x + y = 12
2x + 3y = 6

11. Function Form Rewrite the equations in function form (y=mx+b)
-x – y = 5
5x + 5y = 20

12. T-Charts Rules for t-Charts Equations must be in function form
Choose numbers for x
Substitute them in for x
Solve for y
Repeat to get a total of 3 values for your function

13. T-Charts Make a table of values(T-Chart) for each function
Y = -2x – 6 y = 3(6x – 1) X Y X Y

14. T-Charts Make a table of values(T-Chart) for each function
Y = 3x y = 7 – 4x X Y X Y

15. Special Cases When the equation has an X but no Y Ex: x = 5
When the equation has a y but no x
Ex: y = 8

16. 4.2 Graphing Linear Equations Part2
Objectives:
-Graph linear equations and make t- charts

17. T-Charts Rules for t-Charts Equations must be in function form
Choose numbers for x
Substitute them in for x
Solve for y
Graph the values

18. Graphing
Y = 4x – y = 2(x – 1) X Y X Y

19. Graphing
2x + 2y = x – 7 = 5y X Y X Y

20. 4.3 Quick Graphs Using Intercepts
Objectives:
-Find the x and y intercepts
-graph a linear equation using the x and y intercepts

21. Terms
X- intercept
Y- intercept

22. Finding the x-intercept
X-intercepts always have ordered pairs in the form (#,0)
To find the x-intercept you plug 0 in for y and solve for x.

23. Finding the y-intercept
y-intercepts always have ordered pairs in the form (0,#)
To find the y-intercept you plug 0 in for x and solve for y.

24. Practice Given the x and y intercepts graph the equation
x-intercept = 2; x-intercept = -4;
y-intercepts = -3 y-intercepts = 5

25. Finding x and y -intercept
5x + 4y = -20
6x – y = 6

26. Finding x and y -intercept
-3x + y = -6
3x – y = -2

27. Objectives: -Find the slope of a line given 2 pts

28. Terms
Slope
Rate of change

29. Finding Slope form a GraphB

30. Finding Slope with a Formula
Slope = change in y
change in x

31. Special cases
#/0 means slope = undefined (U)
0/# means slope = 0

32. Practice
(2,3)(4,-5)
(1,-5)(-5,2)
(3,6)(3,0)
(0,5)(7,5)

33. Practice
(4,1)(6,-3)
(2,2)(-3,5)
(-6,-1)(-6,-4)
(0,-10)(-4,0)

34. White Board Practice
One person from each row get white boards and accessories

35. 4.6 Quick Graphs Using Slope Intercept
Objectives:
-Graph a linear equation in slope intercept form

36. Terms
Slope-intercept form
Parallel lines
Perpendicular Lines

37. Locating slope and intercept
Given an equation in y=mx+b form
m=slope (pattern) b= y-intercept (start pt.)
Slope must be a fraction !!!

38. How it works 1st you start on the y axis at the b value
2nd you use your slope to rise and run from the b value

39. Practice Graph each of the following and tell the slope and intercept
Y = 2x – 3
Y= -3x – 2
Y= ½ x + 5

40. Practice Graph each of the following and tell the slope and intercept
Y= 2/3x – 1
Y= 2x
2y + 3x = 6