Graph the following equations. 1.y = x + 1 2. 2x + 2y = 4 Activating Prior Knowledge Notes Tie to...
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Transcript of Graph the following equations. 1.y = x + 1 2. 2x + 2y = 4 Activating Prior Knowledge Notes Tie to...
![Page 1: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/1.jpg)
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
![Page 2: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/2.jpg)
Learning Objective
Today, we will write equations that represent
the graph of a line.
CFU
![Page 3: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/3.jpg)
Concept Development – Opening Exercise Graph 1
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
*Write the equation of the line.
𝒚=𝟐𝟑 𝒙−𝟑
What do you know about the
line?
How is this related to
?
![Page 4: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/4.jpg)
Concept Development – Opening Exercise Graph 2
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
*Write the equation of the line.
𝒚=−𝟏𝟒 𝒙+𝟐
What do you know about the
line?
How is this related to
?
![Page 5: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/5.jpg)
Concept Development Review – Notes #1
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
Label the parts of equation in slope-intercept form:
y = dependent
variable x = independent variablem = slope
b = y-intercept
![Page 6: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/6.jpg)
Concept Development – Notes #2
M4:LSN20Every Line is a Graph of a Linear Equation
Standard form 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
![Page 7: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/7.jpg)
Concept Development – Notes #3
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
Write the equation that represents the line shown.
𝒚=−𝟐𝟓 𝒙+𝟒
Which form will be easier to write?
How is this related to?
What can you identify about this
graph? What is the slope?
![Page 8: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/8.jpg)
Concept Development – Notes #4
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
Write the equation that represents the line shown.
𝒚=𝟒 𝒙−𝟐
How is this related to?
What can you identify about this
graph? What is the slope?
![Page 9: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/9.jpg)
Skill Development/Guided Practice– Notes #6 EX. 1
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
Write the equation that represents the line shown.
Use the properties of equality to change the equation from slope intercept form, , to standard form, , where ,, and are integers and is not negative.
![Page 10: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/10.jpg)
Skill Development/Guided Practice– Notes #7 Ex. 2
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
Write the equation that represents the line shown.
Use the properties of equality to change the equation from slope intercept form, , to standard form, , where ,, and are integers and is not negative.
![Page 11: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/11.jpg)
Skill Development/Guided Practice– Notes #8 Ex. 3
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
Write the equation that represents the line shown.
Use the properties of equality to change the equation from slope intercept form, , to standard form, , where ,, and are integers and is not negative.
![Page 12: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/12.jpg)
Skill Development/Guided Practice– Notes #9 EX. 4
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
Write the equation that represents the line shown.
Use the properties of equality to change the equation from slope intercept form, , to standard form, , where ,, and are integers and is not negative.
![Page 13: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/13.jpg)
Skill Development/Guided Practice– Notes #10 EX. 5
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
Write the equation that represents the line shown.
Use the properties of equality to change the equation from slope intercept form, , to standard form, , where ,, and are integers and is not negative.
![Page 14: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/14.jpg)
Skill Development/Guided Practice– Notes #11 EX. 6
M4:LSN20Every Line is a Graph of a Linear Equation
CFU
Write the equation that represents the line shown.
Use the properties of equality to change the equation from slope intercept form, , to standard form, , where ,, and are integers and is not negative.
![Page 15: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062504/5a4d1b7d7f8b9ab0599b9b73/html5/thumbnails/15.jpg)
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 andcomplete all parts of the problems.
1. What did you learn?
2. Why is it important?