rate of change module 2 section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture...

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Module 2 Section 2.1 Rate of Change With a line, the rate of change is constant. We will now define the Slope of a Line.

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Page 1: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Module 2  ­  Section 2.1

Rate of Change

With a line, the rate of change is constant.

We will now define the Slope of a Line.

Page 2: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Example:

Example:

Page 3: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Example:

So...for ANY line that is graphed, you can find the slope:

Page 4: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Remember what a linear function looks like:

Page 5: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Special Lines:

Special Lines:

Page 6: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Section 2.2

f(x) = ax + bx ­2 ­1 0  1  2 

f(x) 

So...Remember

f(x) = ax + b a = 

b = 

This form of the line is called the ____________________________________.

Page 7: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Give the slope and intercept for each line.

Write in slope­intercept form:

Page 8: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Let's figure out the equation for a horizontal line.

Graph lines using the slope and intercept:

Page 9: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Graph lines using the slope and intercept:

Graph lines using the slope and intercept:

Page 10: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Graph lines using the slope and intercept:

Graph lines using the slope and intercept:

Page 11: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Graph lines using the slope and intercept:

Write the linear equation of the line in the graph.

Page 12: Rate of Change Module 2 Section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture notes math 65.pdfModule 2 Section 2.1 Rate of Change With a line, the rate of change

Write the linear equation of the line in the graph.