91 Slope

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9-1 Slope
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Rates of Change and Slope in the Real World

• Surveying
• Building
• Data Analysis
• Sports
• Many other examples
• What other examples can you think of?

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Rates of Change in BuildingEX. RoofsHow would
you find the Pitch of the roof of your house?
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Roof Example

• Solution you would find the rise and the run of
  the roof.
• Place rise/run slope

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Definition

• Rate of Change Slope rise/run

Run
Rise
Run
Rise
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Finding Slope using Points

• Slope rise/run

Example Find the slope of the line through
A(-2,1) and B(5,7)
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Example

• Find the slope of line segment PQ with points
  P(2,-6) and Q(1,-3)

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Finding slope using an equation

• Function form y mx b is also known as slope
  intercept form.
• In slope intercept form m slope and
• b y-intercept
• Example
• y 6x 4 m 6 and b 4 so the slope of
  this equation is 6

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Finding slope using equations cont.

• Example
• Find the slope of the line with the given
  equations
• a) y -3x 5
• b) 2x 3y 6

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Horizontal and Vertical Lines
________

• Horizontal lines have slope of 0
• Vertical lines have an undefined slope

________
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Why is the slope of a horizontal line 0?

• Example
• Find the slope of the line through A(1,2) and
  B(4,2).

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Why is the slope of a vertical line undefined?

• Example
• Find the slope of the line through A(4,2) and
  B(4,-7).

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More Practice

• Measure up pg 169

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Homework

• Pg. 350 1-14 all, 19-22, 29, 31, 33, 34