8.8-Graph Proportional Relationships & Slope (Lesson 8)

​8.8-Lesson 8: Graph Proportional Relationships and Define Slope

By Jessica Freeman

Multiple Choice

Does the equation show a proportional relationship?

• Yes
• No

Multiple Choice

Which statement best describes the relationship between x and y in the table?

• Proportional
• Not Proportional

Multiple Choice

Which best describes the equation?
y = 75x

• Proportional
• Nonproportional

Multiple Choice

What is the unit rate for the rain fall?

• 2 cm per hour
• 1 cm per hour
• ¹/₂ cm per hour
• 4 cm per hour

Multiple Choice

What does the y-intercept represent?

• It costs $30 for each mile drive.
• There is an initial charge of $30 for the moving van.
• There is an initial charge of $2 for the moving van.
• It costs $1 for every 2 miles driven.

Multiple Choice

Which of the equations below is proportional?

• y = 6x

• y = 3x + 2

• y = 2x + 4

• y = -2x -1

Multiple Choice

Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day. 

• Proportional
• Non-Proportional

Multiple Choice

What is the rate of change for the following graph?

• 80
• 20
• 40
• 160

Multiple Choice

How much money would you make in 6 hours?

• $44
• $9
• $54
• $45

Multiple Choice

What is the constant of proportionality?

• $3
• $4
• $2
• $9

Multiple Choice

The constant of proportionality can be found by finding the __________  _____________.

• unit rate
• proportion
• equation
• inequality

Multiple Choice

The constant of proportionality in the equation y = ½x is _______. 

• x
• y
• 1/2
• 2

Multiple Choice

A proportional relationship can be written as an equation in the form ____ = _____  _____

• y = k+x
• y = k-x
• y = kx
• y = k/x

Multiple Choice

Write an equation for this relationship.

• y=18x
• y=18.50x
• y=22.50x
• y=22x

Multiple Choice

y=kx.  What does the k represent?

• constant of proportionality
• multiplier
• scale factor
• all of these are correct

Multiple Choice

Write the equation for the table given

• y = 1/3x
• y = 3x
• y = 1/2x

Multiple Choice

Which company shows a greater slope?

• Water's Edge Rafts
• Ryan's Rafts

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

Find the slope 

• m = 4
• m = 1/4
• m = -4
• m = -1/4

Multiple Choice

Find the slope 

• m = 3/4
• m = -3/4
• m = 4/3
• m = -4/3

Multiple Choice

Find the slope 

• m = 3/2
• m = 2/3
• m = -3/2
• m = -2/3

Multiple Choice

Find the slope 

• m = 3/2
• m = 2/3
• m = -3/2
• m = -2/3

Multiple Choice

Find the slope 

• m = -1
• m = -4/4
• m = 4/4
• m = 1

Multiple Choice

Find the slope 

• m = 1
• m = 30
• m = 60
• m = 120

Multiple Choice

Find the rate of change

• 1
• 2
• 11
• Not a constant slope/Non-Linear

Multiple Choice

Which of the following are ways to find the rate of change?

• change in y over change in x
• rise over run
• subtract y coordinates over subtract x coordinates
• all of the above

Multiple Choice

True or False:

Is the following graph proportional?

• True

• False

Multiple Choice

A proportional relationship is written used which of the following equations?

• $$y=kx$$  

• $$y=kx+b$$  

Multiple Choice

What is the slope (in miles per hour) based on the table?

• 45

• 90

• 135

• 2

​Think about this...
y = kx + 0
or
y = mx + b
What does the k stand for/m stand for?
What does the 0/b stand for?

Multiple Choice

Find the slope of the line. 

• -1
• 1
• 1/2
• -1/2

Multiple Choice

FInd the slope of the line. 

• -5/4
• 5/4
• -4/5
• 4/5

Multiple Choice

Find the slope of the line. 

• 0
• 1
• undefined 
• -1

Multiple Choice

Find the slope of the line. 

• 2/7
• -2/7
• 7/2
• -7/2

Multiple Choice

Find the Slope

• -2/1
• -1/2
• No Slope
• 2/1

Multiple Choice

Find the Slope

• 1/4
• Zero
• 4
• Undefined

Multiple Choice

Find the slope.

• 
  

  $$-10$$
  

• $$10$$

• $$\frac{1}{10}$$

• $$-\frac{1}{10}$$

Multiple Choice

What is the slope of the table?

• 15

• 6

• 1/6

• -6

Multiple Choice

Find the slope of the line.

• Undefined
• 0
• 1
• -1

Multiple Choice

Find the slope of the graph.

• 0
• -2
• -1/2
• Undefined

Multiple Choice

Which shows a slope of 0?

​Think about dilations. Our rule for dilations looks something like this:

(x + . y + _) or (x - _. y - _)
(positive slope) or (negative slope)

​m = y /x

​​PRINT
(student
copy)

Purpose:

• Develop strategies for finding the slope of a line from tables and graphs of proportional relationships.

• Recognize that any two points on a line can be used to find its slope.

Multiple Choice

The equation y=5x is proportional. What is the unit rate?

• 2

• 6

• x

• 5

Multiple Select

Are both of these situations proportional?

• No, the Potato Sale and Ride Tickets are not proportional

• Yes, the Potato Sale and Ride Tickets are both proportional.

Multiple Choice

Which one of these are proportional?

Multiple Choice

What is the slope formula?

Multiple Choice

• 9/1

• 5/1

• -9/1

• -5/5

Multiple Choice

• 1/-2

• 5/14

• 1/2

• -1/2

Multiple Choice

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

• 2/11
• 13/2
• 3/10
• 11/2

Multiple Choice

Find the slope of the line that passes through:
(5, -10) and (5, -4)

• undefined
• 0
• - 14/10
• 10/14

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

Slope is know as rise/

• run
• fall
• none
• rise

Multiple Choice

Find the slope of the line through these points.

(10,12) and (15,12)

• Undefined

• 0

• 3/2

• 2/3

Multiple Choice

What is the slope of the graph?

• -1/3

• -3

• 3

• 1/3

Multiple Choice

Find the slope

• 2

• -2

• 1/2

• -1/2

Multiple Choice

• 3/4

• 4/3

• -3/4

• -4/3

Multiple Choice

Describe the movement of the slope

• down 1, down 2

• up 1, right 2

• right 1, up 2

• right 1, down 2

Multiple Choice

What is the movement of the slope

• Down 5, right 2

• Left 5, up 2

• Up 5, left 2

• Down 5, Left 2

Multiple Choice

What is the movement of the slope?

• Left 2

• Down 2

• Left 2, up 1

• Down 2, right 1