Average rate of change

How do you calculate the slope of a line?

• Whatever y is, when x=0

• Add all the points, then divide by 2

• Take the square root

What is f(1)?

• 1
• 5
• 0
• 4

What is f(8)? 

• 8
• 0
• 3
• -2

What is the slope of the line?

• 1/2

• 2

• -2

• -1/2

What is the average rate of change for x=0 to x=9?

• Not possible

• 8/9

• 9/8

• 8

What is the average rate of change for x=-2 to x=0?

• -1/2

• -2

• 1/2

• 2

Which of the following can be used to find Average Rate of Change?

•  $\frac{y_2-y_1}{x_2-x_1}$  

•  $\frac{x_2-x_1}{y_2-y_1}$  

•  $y=mx+b$  

•  $\frac{\Delta y}{\Delta x}$  

•  $y_2-y_1=m\left(x_2-x_1\right)$  

Average Rate of Change is also known as...

• y-intercept
• x-intercept
• linear
• slope

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Find the average rate of change over the given interval. 

• 4
• 7
• 7/3
• 3/7