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Section 1 - Rate of Change and Slope

Page history last edited by PBworks 16 years, 1 month ago

6.1 Slope and Rate of Change

 

slope: the "steepness" of a line

 

formula for slope: 

m=eq=\frac{y_2 -y_1}{x_2-x_1}

 

Example:

 

Find the slope of points (2,3),(-2,-4)

eq=\frac{-4-3 }{-2-2}    = m Plug your points into the slope formula.
eq=\frac{-7}{-4}  Subtract the numbers.
 
eq=\frac{7}{4} = m (slope) 
 

 

 

Rate of change: comparison of two changing rates

 

 

rate of change formula: change in dependent variable(y)

                                      change in independent variable(x)

 

Example:

 

Number of Days       Price

            1                  $60

                                       ) 15             

            2                  $75             

                                       ) 15 

            3                  $90      

 

Find rate of change:  eq=\frac{15}{1} = 15                      

 

 

 

 

 

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