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

Learning Objective

Today, we will write equations that represent

the graph of a line.

CFU

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

?

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

?

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

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

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?

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?

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.

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.

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.

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.

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.

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.

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?