Linear Relationships

Linear Relationships

By Melynda McMillin

• Is the graph linear?

• ​Constant Rate of Change?

• Y-intercept?

• Proportional/Non-Proportional?

• ​Increasing or Decreasing?

  What is the equation?​

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Lets Practice!

​What can we tell from a graph?

Open Ended

Using the information from slide 2, tell me as much as you can about this graph:

Open Ended

Using the information from slide 2, tell me as much as you can about this graph:

Open Ended

Using the information from slide 2, tell me as much as you can about this graph:

Multiple Choice

Is this graph linear?

• Yes, because it has a constant rate of change.

• No, because it doesn't go through (0,0)

• Yes, because it doesn't have a constant rate of change.

• No, because it is decreasing.

Multiple Choice

Is this graph proportional?

• Yes. It is because it is linear.

• No. It is linear, but does not go through (0,0).

Multiple Choice

What is the y-intercept?

• 2

• 5

• 7

• -1

Multiple Choice

What is the constant rate of change?

• 2

• 1/2

• -1/2

• -2

Multiple Choice

What is the equation for this graph?

• $$y=\frac{1}{2}x+5$$  

• $$y=-\frac{1}{2}x+5$$  

• $$y=-2x+5$$  

• $$y=2x+5$$  

Multiple Choice

The graph at the left shows how much money you make after you work x hours. How much do you make per hour?

• $10 per hour

• $15 per hour

• $20 per hour

• $30 per hour