Linear Equations

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Linear Equations
Ron Koehn EIPT 5533 Nov. 16, 2004
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Linear Equations
Select a topic
Slope of a line
Slope-intercept equation
Graphing using the slope and y-intercept
Quiz
Credits
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Slope of a Line
The slope of a line is defined as
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Slope of a Line
The slope of a line is defined as
change in y-direction 3
Next
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Slope of a Line
The slope of a line is defined as
change in y-direction 3
change in x-direction 1
Next
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Slope of a Line
The slope of a line is defined as
change in y-direction 3
change in x-direction 1
Next
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Slope of a Line
If movie does not start, click on black rectangle
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Slope-Intercept Equation

• The equation y mx b is called the
  slope-intercept equation for a line.

Next
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Slope-Intercept Equation

• The equation y mx b is called the
  slope-intercept equation for a line.

When x 0, y b. So, the point (0, b) is the
y-intercept of the graph.
Next
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Slope-Intercept Equation

• The equation y mx b is called the
  slope-intercept equation for a line.

When x 0, y b. So, the point (0, b) is the
y-intercept of the graph.
The value for x is multiplied by m and the
difference of two y-values will be m times the
difference of the corresponding x-values. So the
slope of the line is m.
Next
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Slope-Intercept Equation

• y 2x 3
• y mx b
• 2 corresponds to m, so the slope of the line is
  2.
• 3 corresponds to b, so the y-intercept of the
  line is (0, 3).

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Graphing a line using the slope-intercept equation

• Graph the line.

Determine y-intercept
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Graphing a line using the slope-intercept equation

• Determine the y-intercept.

The y-intercept is (0, 2).
Plot y-intercept
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Graphing a line using the slope-intercept equation

• Plot the y-intercept.

The y-intercept is (0, 2).
Plot another point
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Graphing a line using the slope-intercept equation

• Use the slope to plot the next point.

Click for change in y-direction
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Graphing a line using the slope-intercept equation

• Use the slope to plot the next point.

Click for change in x-direction
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Graphing a line using the slope-intercept equation

• Use the slope to plot the next point.

Click to plot point
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Graphing a line using the slope-intercept equation

• Use the slope to plot the next point.

Click to draw line
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Graphing a line using the slope-intercept equation

• Draw the line.

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Linear Equations Quiz
Match the equation with the correct graph
below. y 2x 1
B
A
C
D
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Click on a letter button to select an answer.
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Linear Equations Quiz
The slope is correct, but the y-intercept is not.
D
Try Again
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Linear Equations Quiz
The y-intercept is correct, but the slope is not.
B
Try Again
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Linear Equations Quiz
The slope is wrong and the y-intercept is wrong.
A
Try Again
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Linear Equations Quiz
This is the correct graph.
C
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Credits
This presentation was written by Ron Koehn as
partial fulfillment of the requirements of EIPT
5533, Nov. 16, 2004.

• All graphics were drawn by Ron Koehn
• The video clip is from the McGraw-Hill website
  http//highered.mcgraw-hill.com/sites/dl/premium/0
  072918780/student/74937/Dugo_EA4_03_02_011s.mov

End