rate of change module 2 section 2cf.linnbenton.edu/mathsci/math/maurerv/upload/2.1 and 2.2 lecture...
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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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/1.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/2.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/3.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/4.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/5.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/6.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/7.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/8.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/9.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/10.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/11.jpg)
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](https://reader033.vdocument.in/reader033/viewer/2022041518/5e2c6ddb56554a60ce6b1855/html5/thumbnails/12.jpg)
Write the linear equation of the line in the graph.