Graph the following equations. 1.y = x + 1 2. 2x + 2y = 4 Activating Prior Knowledge – Notes Tie to LO M4:LSN 20 Every Line is a Graph of a Linear Equation.

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Presentation transcript:

Graph the following equations. 1.y = x x + 2y = 4 Activating Prior Knowledge – Notes Tie to LO M4:LSN 20 Every Line is a Graph of a Linear Equation

Learning Objective Today, we will write equations that represent the graph of a line. CFU

Concept Development – Opening Exercise Graph 1 M4:LSN20 Every Line is a Graph of a Linear Equation CFU *Write the equation of the line. What do you know about the line?

Concept Development – Opening Exercise Graph 2 M4:LSN20 Every Line is a Graph of a Linear Equation CFU *Write the equation of the line. What do you know about the line?

Concept Development Review – Notes #1 M4:LSN20 Every Line is a Graph of a Linear Equation CFU y = dependent variable x = independent variable m = slope b = y-intercept

Concept Development – Notes #2 M4:LSN20 Every Line is a Graph of a Linear Equation A, B, and C are real numbers and A and B are not both 0, and A is not negative. When A ≠0 and B≠0, the graph is a nonhorizontal, nonvertical line. When A = 0, the graph is a horizontal line. When B = 0, the graph is a vertical line. CFU

Concept Development – Notes #3 M4:LSN20 Every Line is a Graph of a Linear Equation CFU Write the equation that represents the line shown. Which form will be easier to write? What can you identify about this graph? What is the slope?

Concept Development – Notes #4 M4:LSN20 Every Line is a Graph of a Linear Equation CFU Write the equation that represents the line shown. What can you identify about this graph? What is the slope?

Skill Development/Guided Practice– Notes #6 EX. 1 M4:LSN20 Every Line is a Graph of a Linear Equation CFU Write the equation that represents the line shown.

Skill Development/Guided Practice– Notes #7 Ex. 2 M4:LSN20 Every Line is a Graph of a Linear Equation CFU Write the equation that represents the line shown.

Skill Development/Guided Practice– Notes #8 Ex. 3 M4:LSN20 Every Line is a Graph of a Linear Equation CFU Write the equation that represents the line shown.

Skill Development/Guided Practice– Notes #9 EX. 4 M4:LSN20 Every Line is a Graph of a Linear Equation CFU Write the equation that represents the line shown.

Skill Development/Guided Practice– Notes #10 EX. 5 M4:LSN20 Every Line is a Graph of a Linear Equation CFU Write the equation that represents the line shown.

Skill Development/Guided Practice– Notes #11 EX. 6 M4:LSN20 Every Line is a Graph of a Linear Equation CFU Write the equation that represents the line shown.

Closure – End of Notes 3. If given a graph, what should you start with when writing an equation of a line? CFU Homework Notes **Problem Set 1 – 6 all– read and complete all parts of the problems. 1. What did you learn? 2. Why is it important?