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Graphing Linear Equations and Functions

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Presentation on theme: "Graphing Linear Equations and Functions"— Presentation transcript:

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 Graph
B

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


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