3.3 Rate of Change and Slope

3.3 Rate of Change and Slope

Slope

• The slope of a line (or between two points) is a ratio or fraction

• The math way of describing it is the change in y over the change in x

• We can use the shortcut:

   $\frac{rise}{run}$  

Slope and Lines

• The slope describes how steep the line between the two points is

• We can also use it to find points anywhere else on the line

Multiple Choice

What is the slope between the two points?

• 2

•  $\frac{2}{5}$  

• 5

•  $\frac{5}{2}$  

Multiple Choice

What is the slope between the two points?

• $\frac{1}{2}$

• 1

• 2

• 3

Slope and Two Points

• When given two points, you can find the slope between them using this formula:

•  $m=\frac{y_2-y_1}{x_2-x_1}$  

• Ex: (-2,0) and (1,5)

Let's do another

• (-3,-1) and (2,-1)

Multiple Choice

Using the slope formula, find the slope between (-3,2) and (5,5).

• 3

• 8

• $\frac{8}{3}$

• $\frac{3}{8}$

Multiple Choice

Using the slope formula, find the slope between (-3,-4) and (-2,-8).

• -4

• 0

•  $-\frac{1}{4}$  
  

• 4

Multiple Choice

Using the slope formula, find the slope between (3,6) and (4,8).

•  $-\frac{1}{2}$  
  

• 2

•  $\frac{1}{2}$  
  

• -2