Finding the Rate of Change

Rate of change

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​ Objective:

SWBAT: define and explain the significance of the three forms of linear equations

SWBAT: manipulate between the three forms of linear equations

Open Ended

What do you remember about the term’s “slope” and “y-intercept?”

Open Ended

Name as many forms of linear equations that you. What do you remember about them?

Fill in the Blanks

What is the slope and y-intercept of  $y=-\frac{3}{4}x+7$  

Simplify if needed.

Fill in the Blanks

What is the slope and y-intercept of: $3x-6y=30$  

Simplify if needed.

Open Ended

What is unique about the following equations:

  $$y=18$$

Open Ended

What is unique about the following equations:

  $$x=2$$  

Open Ended

Looking at number 3, what information can you immediately see by looking at equation A $$y=-\frac{3}{4}x+7$$  ?  Do you clearly see that same information in equation B $$3x-6y=30$$  ?  What information could you find quickly from equation B?

Open Ended

What is unique about the following equation?

$$y=18$$  

Open Ended

What are the 3 types of linear equation?

​When should each form be used?

Multiple Choice

Which form is the following equation in,  $$\left(y-4\right)=-4\left(x+1\right)$$  

• Standard form

• lope-intercept form

• point-slope form

• linear equation form

Fill in the Blanks

Point-slope form always give a point and the

Multiple Choice

What is the slope and point for the equation,  $$\left(y-4\right)=-4\left(x+1\right)$$  ?

• m= 1

  point= (-4,-4)

• m= -4x

  point= -(-4,1)

• m= 1x

  point= (1, 1)

• m= -4

  point= (1,-4)

Multiple Choice

Which form is the following equation in, $$4x+3y=12$$  ?

• standard form

• slope-intercept form

• y-intercept form

• point-slope form

Fill in the Blanks

Standard form always give a

​How to find the x-intercept and y-intercept when the equation is in standard form?

On your paper find the x and y intercept and the slope (m).

Multiple Choice

Which form is the following equation in,  $$y=5x+3$$  ?

• standard form

• slope-intercept form

• point-slope form

• y-intercept form

Fill in the Blanks

Slope-intercept form always give the slope and

Multiple Choice

What is the slope and y-intercept of the eqution,  $$y=5x+3$$  ?

• m=  $$\frac{3}{5}$$  

  b= 3

• m=  $$\frac{5}{3}$$  

  b= 5

• m= 3

  b= 5

• m= 5

  b= 3

​Time to practice on your own

​Take 2 minutes independently to complete as much of the practice problems numbers 4-6 as you can.

​In your groups

​Take 4 minutes to share your answers and how you got to answers for practice problems 4-6.