Pre-Algebra

Chapter 3 “Equations in Two Variables”

Lesson 6

“Write Linear Equations”

Pages (221-228)

Equations of a line:

• Slope-Intercept form

• Standard form

• Point-Slope form

Equation of a line:

• Point-Slope form

𝑦 − 2 = 4 𝑥 − 1

Calculate the slope

𝑚 =𝑦

2 −

− 𝑦

1

𝑥2

− 𝑥

1

𝑚 =6−

−2

2 −1

= 4

1

𝑚 = 4

Use slope 4 and point (1, 2) from the graph to write:

• Point-Slope form

𝑦 − = 𝑥 −

Use slope 4 and point (-2,3) to write the equation:

practice Equation of a line:

Example 1 (p.222) Write an equation in Point-slope form for the line that passes through (-2,3) with a slope of 4

𝑦 − 13 = 5 𝑥 − 2

Writing Linear Equations: • from Slope & y-intercept

Slope is 5 and y-int. (0,3)

• from Slope and a Point

Slope is 5 and point (2,13)

• from a Graph

• from Two Points

Points (3, 18) and (2,13)

• from a Table

𝑦 = 𝑚𝑥 + 𝑏 𝑦 = 5𝑥 + 3

𝑦 − 𝑦1 = 𝑚 𝑥 − 𝑥1

days cars

x y

0 3

2 13

3 18

𝑦 − 13 = 5 𝑥 − 2

𝑦 = 5𝑥 + 3

𝑦 − 13 = 5 𝑥 − 2

𝑦 − 𝑦1 = 𝑚 𝑥 − 𝑥1

𝑦 − 𝑦1 = 𝑚 𝑥 − 𝑥1

𝑦 = 𝑚𝑥 + 𝑏

practice Writing Linear Equations:

• from Slope & y-intercept

Slope is 5 and y-int. (0,3)

• from Slope and a Point

Slope is 2 and passes through (1,9)

• from a Graph

• from Two Points

line passing through (3, -6) and (-1,2)

• from a Table

𝑦 = 𝑚𝑥 + 𝑏

𝑦 − 𝑦1 = 𝑚 𝑥 − 𝑥1

weeks height

x y

5 13

10 14

𝑦 − 𝑦1 = 𝑚 𝑥 − 𝑥1

𝑦 − 𝑦1 = 𝑚 𝑥 − 𝑥1

𝑦 = 𝑚𝑥 + 𝑏

Guided Practice

Chapter 3 “Equations in Two Variables”

Lesson 6

“Write Linear Equations”

Questions 1 – 4 page 224

Independent Practice Questions 1 – 8

page 225

Group practice

I-Ready & Connect-Ed

Chapter 3 “Equations in Two Variables”

Lesson 6

“Write Linear Equations”

(online)

Independent Practice Questions 1 – 8

page 225

Home Learning

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