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

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

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

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

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

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

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

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

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

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

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

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

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