Linear Relationships

Select all of the equations that have graphs with the same y-intercept as:

 $y=3x-8$  

•  $y=3x-9$  

•  $y=3x+8$  

•  $y=3x-8$  

•  $y=\frac{1}{2}x\ -8$  

•  $y=2x-8$  

Tags

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

What is the equation for the red line, line k?

• y=1/4x

• 1/4x

• y=4x

• y=1/4x+5

• 4x

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

What is the equation for the blue line, line j?

• y=1/4x

• 1/4x+5

• y=4x+5

• y=1/4x+5

• 4x+5

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

Which statement is true about these two lines?

• They have the same y-intercept and same slope.

• They have the same slopes and different y-intercepts.

• They are both proportional relationships.

• They are both non-proportional relationships.

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.2

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.2

CCSS.8.SP.A.3

A cable company charges $70 per month for cable service to existing customers.

Write a proportional equation (y = kx) to represent the relationships between x, the number of months, and y, the amount of money paid.

Tags

CCSS.8.F.A.1

CCSS.8.F.B.4

A cable company charges $70 per month for cable service and an additional one-time $100 sign-up fee for new customers.

Write a linear equation (y = mx + b) to represent the relationships between x, the number of months, and y, the amount of money paid.

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

Which graph below goes with the following story.

"The number of chapters read, y, after x days. You read 5 chapters every 4 days and you begin a brand new book."

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Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.1

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.3

Which graph below goes with the following story.

"The cost in dollars, y, of a muffin delivery and the number of muffins, x, ordered. They charge a one time $3 delivery fee and every muffin costs $2 per muffin. "

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• 

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.1

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.2

CCSS.8.SP.A.3

To paint a house, a painting company charges a flat one time fee of $500 for supplies, plus $50 for each hour of labor. This relationship of x hours worked and y dollars spent can be seen in the graph.

What is the y-intercept and what does it mean in context?

• (0, 0) - At 0 hours of labor it costs $0.

• (0, 500) - At 0 hours of labor it costs $500 because of the supplies.

• $\frac{50}{1}$ - Every 1 hour they charge $50.

• $\frac{1}{50}$ - Every 50 hours they charge $1.

Tags

CCSS.8.F.A.1

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

To paint a house, a painting company charges a flat one time fee of $500 for supplies, plus $50 for each hour of labor. This relationship of x hours worked and y dollars spent can be seen in the graph.

What is the slope of the line and what does it mean in context?

• (0, 0) - At 0 hours of labor it costs $0.

• (0, 500) - At 0 hours of labor it costs $500 because of the supplies.

• $\frac{50}{1}$ - They charge $50 per hour of labor.

• $\frac{1}{50}$ - They charge $1 for every $50 hours of labor.

•  $\frac{2}{2}$  - They charge $2 for every 2 hours of labor.

Tags

CCSS.8.EE.B.5

CCSS.8.F.A.1

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3