Slope

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Slope

• The slope of a line describes its
  ________________ as well as its
  __________________.
• The symbol for slope is _______.

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Slope

• The slope of a line describes its
  __direction_________ as well as its
  __steepness_______.
• The symbol for slope is __m_____.

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Slope

• A ratio of the _______________ (change in y
  values) to the ____________________ (change in x
  values).

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Slope

• A ratio of the __vertical change_ (change in y
  values) to the _horizontal change_ (change in x
  values).

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Slope

• The vertical change is called the ________.
• The horizontal change is called the ________.

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Slope

• The vertical change is called the __rise___.
• The horizontal change is called the __run_____.

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Counting Slope

• Count the change in y (rise) from one point on
  the line to another
• Count the change in x (run) for the same two
  points

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Slope Equation

• Used to find the slope of a line when two points
  are known.
• Find the change in y by ________________________
• Find the change in x by ________________________
• Reduce but do NOT change to a mixed number!

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Slope Equation

• Used to find the slope of a line when two points
  are known.
• Find the change in y by
• y2-y1
• Find the change in x by
• x2-x1
• Reduce but do NOT change to a mixed number!

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Example 1

• Find the slope of the line that passes through
  points
• (-2, -3) and (-1, -1)

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Formula
Substitution
Simplified solution
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formula
substitution
Simplified solution
This means a rise of two and run of 1 (up 2 over
1)
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Example 2

• Find the slope of the line that passes through
  points
• (-4, 1) and (2, 0)

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Formula
Substitution
Simplified solution
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formula
substitution
Simplified solution
This means a rise of 1 and run of -6 (up 1 left
6)
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Slope of Specific Lines

• Slope of vertical lines ________________.
• Slope of horizontal lines ________.
• A line with a negative slope _____________________
  ____________
• A line with a positive slope _____________________
  ____________
• Parallel lines have __________________.
• Perpendicular lines will have slopes that are
  __________________________________________________
  _____________________

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Slope of Specific Lines

• Slope of vertical lines undefined.
• Slope of horizontal lines 0.
• A line with a negative slope falls from left to
  right.
• A line with a positive slope rises from left to
  right.
• Parallel lines have the same slope.
• Perpendicular lines will have slopes that are
  negative reciprocals of each other (2/3 and
  -3/2)