Linear Relationship and Slope

Tell whether the table represents a linear or non-linear relationship.  If it is linear, state the rate of change.

• Linear    ^-2/₃

• Linear  ²/₃

• Linear   ^-3/₂

• Not linear

Find the slope between the two points.
(4, 2) and (3, 8) 

• ^-1/₆

• -6

• ¹/₆

• 6

Tell whether the table represents a linear or non-linear relationship.  If it is linear, state the rate of change.

• Linear  1

• Linear  -1

• Linear  -2

• Not Linear  

Tell whether or not the table shows a proportional linear relationship.  If so, tell the constant of proportionality. 

• Proportional   ²/₅

• Proportional   ⁵/₂

• Proportional   5

• Not Proportional

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 50 words per minute

• Taylor can write 150 words per minute

Which equation matches the graph?

• y = 1/3x + 3

• y = 3x

• y = x +3

• y = 3x + 3

Find the constant rate of change.

• 1/2

• -1/2

• 2

• -2

Billy opened a bank account with $200, and every week he spends $15.

Which equation best represents this situation?

• y = -15x + 200

• y = 15x - 200

• y = 200x + 15

• y = 15x + 200

John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours John's brother works, and c, the total cost of the project.

• 
• 
• 
• 

Which equation below represents the relationship shown in the table?

• y=x+5

• y=x+6

• y=2x+5

• y=3x+2