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Chapter 6: Linear Functions
Rate of Change = Slope Graphing Linear Equations:
Slopeintercept Form SlopePoint Form General Form
![Page 2: Chapter 6: Linear Functions - Vincent's Math Page · 2018-09-10 · Chapter 6: Linear Functions Rate of Change = Slope Graphing Linear Equations: Slopeintercept Form SlopePoint Form](https://reader036.vdocument.in/reader036/viewer/2022062317/5f026cae7e708231d404343e/html5/thumbnails/2.jpg)
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What is slope?
Previously we had been working with:rate of change = Change in dependent variable, y,
Change in independent variable, x.
This rate of change can also be called the slope.
Change in the y values as the “rise” and the change in the x values = “run”.
Slope = rise = y2y1 = ∆y
Practice calculating the slope:
![Page 3: Chapter 6: Linear Functions - Vincent's Math Page · 2018-09-10 · Chapter 6: Linear Functions Rate of Change = Slope Graphing Linear Equations: Slopeintercept Form SlopePoint Form](https://reader036.vdocument.in/reader036/viewer/2022062317/5f026cae7e708231d404343e/html5/thumbnails/3.jpg)
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Steepness of a RoofWhich one is the steepest? Least steep?Which one would have the largest slope?
![Page 4: Chapter 6: Linear Functions - Vincent's Math Page · 2018-09-10 · Chapter 6: Linear Functions Rate of Change = Slope Graphing Linear Equations: Slopeintercept Form SlopePoint Form](https://reader036.vdocument.in/reader036/viewer/2022062317/5f026cae7e708231d404343e/html5/thumbnails/4.jpg)
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What will give us a larger slope?
Think rise/run. Which one do you want to be larger for a larger slope, the rise or the run? As Numerator (rise) increases, the slope increasesAs denominator (run) increases, the slope decreases.For a larger slope we want a larger numerator, Larger Rise
![Page 5: Chapter 6: Linear Functions - Vincent's Math Page · 2018-09-10 · Chapter 6: Linear Functions Rate of Change = Slope Graphing Linear Equations: Slopeintercept Form SlopePoint Form](https://reader036.vdocument.in/reader036/viewer/2022062317/5f026cae7e708231d404343e/html5/thumbnails/5.jpg)
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Types of slope:
1. Positive: Line will go up and to the right. Example: slope of a roof
2. Negative: Line will go down and to the right. Example: Slope of a wheelchair ramp.
3. Slope=0: The slope is only zero if there is no change in the y values or the rise. Zero divided by any number is equal to 0. Example: Horizontal Line, the floor
4. Undefined: It is undefined because the run or change in the x values is 0, no number can be divided by 0. Therefore the slope is undefined. Example: Vertical line, vertical edge of a door frame.
![Page 6: Chapter 6: Linear Functions - Vincent's Math Page · 2018-09-10 · Chapter 6: Linear Functions Rate of Change = Slope Graphing Linear Equations: Slopeintercept Form SlopePoint Form](https://reader036.vdocument.in/reader036/viewer/2022062317/5f026cae7e708231d404343e/html5/thumbnails/6.jpg)
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Determining the slope of a line segment:
![Page 7: Chapter 6: Linear Functions - Vincent's Math Page · 2018-09-10 · Chapter 6: Linear Functions Rate of Change = Slope Graphing Linear Equations: Slopeintercept Form SlopePoint Form](https://reader036.vdocument.in/reader036/viewer/2022062317/5f026cae7e708231d404343e/html5/thumbnails/7.jpg)
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Determining the Slope given two points on a line:
Determine the slope of a line that passes through the points C(5, 3) and D(2, 1)
E(4, 5) and F(8, 6)
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Homework Page 339 # 4, 5, 6, 7, 13, 18