1. Activating Prior Knowledge – Notes
M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Activating Prior Knowledge – Notes
Complete the table for x + y = -2 x
x + y = -2 y
0 + y = -2
y = -2 -2 1
(1) + y = -2
1+ y = -2
y = -3 -3 2
2 + y = -2
y = -4 -4 -1
(-1) + y = -2
y = -1
Tie to LO

2. Learning Objective
Today, we will graph linear equations in standard form, that produce a horizontal or a vertical line.
CFU

3. M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Exploration – Notes #1
Find at least four solutions to graph the linear equation 1x + 2y = 5
x + 2y = 5 x y
CFU

4. M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Exploration – Notes #2
Find at least four solutions to graph the linear equation 1x + 0y = 5
x + 0y = 5 x y
CFU

5. Concept Development – Notes #3
M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Concept Development – Notes #3
What was different about the equations in exercises 1 and 2?
x + 2y = 5
x + 0y = 5
What effect did this change have on the graph?
x + 2y = 5
produced
a diagonal line
x + 0y = 5
produced
a vertical line
CFU

6. Skill Development/Guided Practice – Notes #4
M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Skill Development/Guided Practice – Notes #4
Graph the linear equation x = -2.
x = -2 x y
CFU

7. Skill Development/Guided Practice – Notes #6
M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Skill Development/Guided Practice – Notes #6
What will the graph of x = 0 look like?
Theorem: The graph of x = c is the vertical line passing through (C,0) x y
CFU

8. Skill Development/Guided Practice – Notes #7
M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Skill Development/Guided Practice – Notes #7
Find at least four solutions to graph the linear equation 2x + 1y = 2
2x + 1y = 2 x y
CFU

9. Skill Development/Guided Practice – Notes #8
M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Skill Development/Guided Practice – Notes #8
Find at least four solutions to graph the linear equation 0x + 1y = 2
0x + 1y = 2 x y
CFU

10. Skill Development/Guided Practice – Notes #9
M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Skill Development/Guided Practice – Notes #9
What was different about the equations in exercises 7 and 8?
2x + 1y = 2
0x + 1y = 2
What effect did this change have on the graph?
2x + 1y = 5
produced
a diagonal line
2x + 1y = 5
produced
a horizontal line
CFU

11. y = -2 CFU Graph the linear equation y = -2.
M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Skill Development/Guided Practice – Notes #10
Graph the linear equation y = -2.
y = -2 x y
CFU

12. y = 0 CFU Skill Development/Guided Practice – Notes #12
M4:LSN14
Graph of a Linear Equation Horizontal and Vertical Lines
Skill Development/Guided Practice – Notes #12
Theorem: The graph of y = c is the horizontal
line passing through (0,C)
y = 0 x y
CFU

13. Homework Closure – End of notes CFU 1. What did we learn today?
2. Why is this important to you?
3. How can you tell if the graph of an equation will be a horizontal line?
Homework
Problem Set Complete all 6 problems
*4 graphs
*2 explanations
CFU