Linear Relationships Prep

The constant of proportionality is also known as the _________.

Check ALL that apply.

• rate of change

• unit rate

• slope

• change in y over change in x

• change in x over change in y

A proportional relationship is represented by the equation (a)  

• y = kx
• y = mx + b
• y = x
• y = b

A proportional relationship goes through the (a)   . On a graph, this goes through the point ​ (b)   .

• origin
• y intercept
• (0,0)
• (0, y)
• (x,0)

Select the hotspot that explains why this relationship is proportional.

A nonproportional relationship is represented by the equation (a)  

• y = mx + b
• y = kx
• y = b
• y = x

A nonproportional relationship goes through the (a)   . On a graph, this goes through the point ​ (b)   .

• y intercept
• (0,y)
• (x,0)
• origin
• (0,0)

Select the hotspot that explains why this relationship is nonproportional.

14 gallons of gas cost $48.86 determine the constant of proportionality.

Determine the constant proportionality from the table and match with the correct equation.

• y = 1.25x

• 
• y = 15x

• 
• y = 13x

• 
• y = 1/4x

• 

Organize the following into proportional and nonproportional.

There should be THREE in each section.

Groups:

(a) Proportional

,

(b) Nonproptional

• y = 50x

• 
• 
• 
• 
• y = -25x + 150