Name:Date: Period:Topic: Slope-Intercept FormEssential Question: What can be used to write and graph the equation of a line?

Find the slope of each line:

1.

(8, 4), (6, 3)

2. Find the slope of the line that passes through each pair of points.

Important!!!This is one of the big concepts in

Algebra 1. You need to thoroughly understand this!

Vocabulary:

Slope – Intercept Form y = mx + b

m represents the slope

b represents the y-intercept

y-intercept = is the y-coordinate of a point where the graph crosses the y-axis

Writing Equations

When asked to write an equation, you need to know two things – slope (m) and y-intercept (b).

Writing Equations – Type #1Write an equation in slope-intercept form of the line

that has a slope of 2 and a y-intercept of 6.

To write an equation, you need two things:

26

slope (m) =y – intercept (b) =

We have both!! Plug them into slope-intercept formy = mx + b

y = 2x + 6

1. Write the equation of a line that has a y-intercept of -3 and a slope of -4.

A) y = -3x – 4

B) y = -4x – 3

C) y = -3x + 4

D) y = -4x + 3

Identify the slope and y-intercept:

y = 3x – 7

y = x

y = 5

2

3

How can I graph these problems???

Writing Equations – Type #2Write an equation of the line that has a slope of 3

and goes through the point (2,1).

To write an equation, you need two things:3???

We have to find the y-intercept!! Plug in the slope and ordered pair into

y = mx + b

slope (m) = y – intercept (b) =

1 = 3(2) + b

Writing Equations(2, 1) Slope 3

1 = 3(2) + b

2. Write an equation using the following information:

(-4, -7) slope 2

Writing Equations – Type #3Write an equation of the line that goes through the

points (1, -2) and (2, 4). To write an equation, you need two things:

???

???

slope (m) =

y – intercept (b) =

3. Write an equation of the line that goes through the points (0, 1) and (1, 4).

1. y = 3x + 4

2. y = 3x + 1

3. y = -3x + 4

4. y = -3x + 1

Write an equation in slope-intercept form:

Practice Time!Four Corners

A) y = -2x + 5 C) y = 5x + 2

B) y = 2x – 5 D) y = 5x – 2

Write an equation in slope-intercept form of the line that has a slope of 5 and a y-intercept of -2.

Identify the y-intercept:y = 7

A) 7 C) 0

B) Undefined D) 1

A) 8x C) 8

B) 0 D) 1

Identify the slope:y = 8x

The y-intercept for the graph below is:

A) 2 C) 2/1

B) 1 D) 0

A) y = 6x – 23 C) y = 1/6x – 2

B) y = 6x – 2 D) y = x +4

Write an equation of the line that goes through the points (0, -2) and (1, 4).

What about an equation like this?

5x - 3y = 6What is the slope?

What is the y-intercept?

Find the slope and y-intercept:5x - 3y = 6

Write it in slope-intercept form. (y = mx + b)

Find the slope and y-intercept: 5) 2y + 2 = 4x

Independent Practice Time!!!

Page 310-311 (26, 32, 38, 54, 64)

Word Problem Challenge:

A carpenter charges a $45 fee plus $30 per hour for labor. Write an equation to model the total cost of a job. What graph models the total cost?

Hands-on Activity: Competition Time

• Matching: Slope-Intercept Form & Graph

Wrap-Up:Vocabulary Review!

Reminder:- Complete your summary

- Study your notes

HLA #3: Slope-Intercept Form

Page 310-311

(12, 20, 24, 28, 30, 40, 42, 52, 62, 63)