1. Slope Intercept Form
Section 5-4

2. Graph Linear Equations
y = mx + b m = slope b = y intercept
Table
y = 2x - 1
3x + 2y = 5
Y = ½ x - 1 x y
Graph Linear Equations
x and y intercept
Horizontal and vertical lines
6x + 4y = -12
x = -3
y= 5

3. Finding the Slope of a Line

4. Graph Linear Equations
y = mx + b
Table
y = 2x - 1
y = ½ x - 1
3x + 2y = 15 x y
Graph Linear Equations
x and y intercept
Horizontal and vertical lines
6x + 4y = -12
x = -3
y= 5

5. How do you graph a linear equation?
Essential Question
Slope Intercept formula
How do you graph a linear equation?
X and Y Intercepts
Y intercept
Slope

6. y intercept ( 0, y ) X intercept ( x, 0 ) x and y Intercepts
Intercept: Point where the graph crosses the axis.

7. Slope Intercept form formula
y = mx + b
m = Rise
Run
b represents the y intercept point ( 0, y )
1. y = 3x - 6
2. y = x + 4
3. y = -3/4 x
4. y = 6 – 2x

8. Graph each using slope intercept form y = mx + b.
Identify m and b
Graph
1. y = ½ x - 2
2. y = 3x + 5
4. y = 2 – 4x
3. y = -5 + x

9. Graph Linear Equations
y = mx + b
Table
y = 2x - 1
y = ½ x - 1
3x + 2y = 15 x y
Graph Linear Equations
x and y intercept
Horizontal and vertical lines
6x + 4y = -12
x = -3
y= 5

10. Worksheet equations and graphs. Page 1 Identify m and b Graph
Practice
Worksheet equations and graphs. Page 1
Identify m and b
Graph
Same worksheet page 2
Book Page 249 numbers 18 to 23 all
Quiz graphing y=mx+b. All problems have equations already solved for y.

11. Practice solving Linear equations for “y”
2. 5x – 3y = 33
1. 3x + 4y = 24
4. x + y = 20
3. 2x + 6y = 5
6. -2y = 7x - 12
5. 3y = -2x + 5

12. Practice solving Linear equations for “y”
8. 2y = x
7. 3x – y = -10
y = -3x + 6
9. 3y – 5x = 18
12. x – 3y = 18
11. x + y = 5

13. Extra Practice
Solve each equation for “y”:
1. 4x + 4y = 16
2. x + y = 15
4. 4x – y = 7
3. 5y = - 7x - 25
5. -4y = -36

14. y intercept ( 0, y ) X intercept ( x, 0 ) x and y Intercepts
Intercept: Point where the graph crosses the axis.

15. Find the x and y intercepts, and use them to graph each equation
1. 3x – 2y = 12
2. 5x + 4y = 12
4. y = 2x - 6
3. 2x – 7y = 14

16. Answers for worksheet: Graphing lines and finding intercepts
2. x-intercept /3
y-intercept 2
1. x-intercept
y-intercept -4
4. x-intercept /3
y-intercept
3. x-intercept
y-intercept 2
x-intercept none y-intercept
5. x-intercept
y-intercept none

17. Graph Linear Equations
y = mx + b
Table
y = 2x - 1
y = ½ x - 1
3x + 2y = 15 x y
Graph Linear Equations
x and y intercept
Horizontal and vertical lines
6x + 4y = -12
x = -3
y= 5

18. Horizontal and Vertical Lines
X = 5
Y = -1

19. Graph Linear Equations
y = mx + b
Table
y = 2x - 1
y = ½ x - 1
3x + 2y = 15 x y
Graph Linear Equations
x and y intercept
Horizontal and vertical lines
6x + 4y = -12
x = -3
y= 5

20. Writing an Equation of a line

21. Essential Question B = y intercept Y = ____ x + ____ M = slope
How can you write a Linear Equation from points or a graph?
B = y intercept
Y = ____ x + ____
M = slope

22. Slope Intercept Formula:
When writing the Equation of a Line, fill in the blanks
y = mx + b
y = ______ x + ________
Slope: m
Rise
Run
y intercept: b
( 0, b )

23. Given graph, write a linear equation in Slope Intercept Form
Y = ______ x + _____ m b

24. Given graph, write a linear equation in Slope Intercept Form
Y = ______ x + _____ m b

25. Given graph, write a linear equation in Slope Intercept Form
Y = ______ x + _____ m b

26. Given graph, write a linear equation in Slope Intercept Form
Y = ______ x + _____ m b

27. From a graph From two points From a point and slope
Use the GeoGebra Program
Write a linear equation
From a point and slope
Write equation in Standard form
Ax + By = C

28. Practice
Book page 250 numbers 33 to 38
Worksheet. Write equation of a line in Slope Intercept Form from a graph.

29. Worksheet Answers
Y = 3/1 x + 0
Y = 1/1 x + 2
Y = -3/5 x + 0
Y = -2x + 4
Y = -3/4 x + 1
Y = -1x + 5
Y = 2x – 3
Y = 3x – 1
Y = ½ x - 4

30. Answers Page 250
Y = -1x + 0
Y = 2/3 X + 0
Y = ½ x – 2
Y = -3/2 x + 4
Y = 3/2 x +4
Y = -1x – 4

31. Write an equation of a line in Slope Intercept form Given two points.
Part A Slope
1. ( 5, -3 ) ( 2, 3 )
Part B Y-Intercept
Part C Write Equation

32. Write an equation of a line in Slope Intercept form Given two points.
Part A Slope
2. ( 3, 4 ) ( 7, 3 )
Part B Y-Intercept
Part C Write Equation

33. Write an equation of a line in Slope Intercept form Given two points.
Part A Slope
Math Starter
3. ( 2, 3 ) ( -4, 6 )
Part B Y-Intercept
Part C Write Equation

34. Part A Slope Part B Y-Intercept Part C Write equation Practice
Book page 250 numbers 24 to 27
Part A Slope
Part B Y-Intercept
Part C Write equation

35. Page 250 Answers
y = -6/5 x + 6
25. y = 3/2 x – 1/2
26. y = -1 x + 8
27. y = 4/11 x – 6/11
28. y = -4/13 x – 20/13
29. y = -4/11 x – 49/11
30. y = -3/2x -9
31. y = x

36. From a graph
From two points
Write a linear equation
Write equation in Standard form
From a point and slope
Ax + By =C

37. Write an equation of a line in Slope Intercept form Given two points.
Part A Slope
1. ( 0, -2 ) ( 7, 1 )
Part B Y-Intercept
Part C Write Equation

38. Write a Linear Equation in Slope Intercept form for a line using a slope and a point.
Part A Slope
Origin and a slope of -5
Part B Y-Intercept
Part C Write Equation
Graphic Organizer
Page 250 numbers 43 to 49

39. Page 250 numbers 43 to 49 Y = 3/7 x – 2 43. y = - 2x Y = 4/9 x + 16/3

40. Essential Question B = y intercept Y = ____ x + ____ M = slope
How can you write a Linear Equation from points or a graph?
B = y intercept
Y = ____ x + ____
M = slope

41. Write the following Linear Equations in Standard Form
Ax + By = C
A, B, and C are Real Numbers.
A and B are not Both Zero. A is positive.
1. y = -2x + 3
2. 5x = 6y - 9
4. 3x + y + 6 = 9
3. 2y – 5 = 3x

42. Book Page 256 numbers 17 to 22
17. 4x + 3y = 24
18. 5x + 7y = -35
20. 2x – 4y = 0
19. 6x + 4y = -12
3x – 2y = 18
Or x - ⅔ y = 6
21. 6x – 2y = 14