4/1 Graphing Linear Functions

​Remove Your
Hoodie

Put up ALL
headphones/ earbuds

Prepare to Relinquish your cellphone until the end of class.

Do Now

1

y-(-1) = -1(x-3)

​Solve for y

​

​




7min

Learning Objective:

SWBAT graph linear functions on a coordinate plane.

Demonstration of Learning:

Given 4 problems, I will be able to correctly graph linear functions on a coordinate plane of at least 3 of 4 questions.

Graph Linear Functions

​1 min

Lesson Vocabulary

4

y-intercept

x-intercept

Δy = 4

Δx = 6

● Slope-Intercept Form:

y = mx + b

● Point-Slope Form:

y − y1 = m(x − x1)

● Standard Form:

Ax + By = C

Linear function

​

​1 min

​MRS- White Board Drill Lap 1

​You have 3 minutes to convert, identify slope, and y-intercept

​ 11x - 4y = 32

​6 mins

Multiple Choice

Which ordered pair could represent a y-intercept on a graph?

(3min)

• (6, 0)
• (0, 4)
• (-1, 3)
• (2, 0)

Multiple Choice

Lap 2 (3 min)

What is the y-intercept?

• (2,0)

• (0,2)

• (0,-2)

• (-2,0)

​Graph using slope-intercept

​1. Equation must be in y = mx + b form
2. Plot your y - intercept (0, y)
3. Using your y -intercept as a starting point, count your slope and plot another point.
4. Connect the points.

​Example: Graph y = 2x + 5








6 min

Multiple Choice

In order to join an online learning community, there is a $3 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation. (4 min)

• y= 5x+3

• y= -5x + 3

• y = 3x + 5

• y = -3x+ 5x

Graphing

Graph (5min)

In order to join an online learning community, there is a $3 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

Graphing

(5 min)

Graph $$y=-\frac{5}{2}x+3$$

​You have 1 minute to discuss with your partner the slope of a horizontal and vertical line.

3min

Multiple Choice

Which graph is y = 7?

(3min)

Multiple Choice

Which graph represents the function:   $$y=-\frac{1}{2}x-2$$  

(3 min)

Demonstration of Learning

23

Open Ended

Essential Question

Explain to a classmate how to graph a linear equation.

Use complete sentences. (To graph a linear equation, start by...)