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Slope of Lines
• Learning Objective
• Define the slope formula of the line
• Compute values of slope using two examples
Slope
Rise and Run
• The rise can be positive or negative
• A positive rise corresponds to a vertical change up
• A negative rise corresponds to a vertical change down
• The run can be positive or negative
• A positive run corresponds to a horizontal change right
• A negative run corresponds to a horizontal change left
Consider Example 1
Try This Problem
• Pause the presentation
• Compute the slope of the line in the picture below

• A Video Solution that demonstrates how to solve
this problem is available at this site
The Slope Formula
Consider Example 2
• Find the slope of the line passing
through the points (−3, −5) and (2, 1)
• Solution:

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Slope of Lines

  • 1. Slope of Lines • Learning Objective • Define the slope formula of the line • Compute values of slope using two examples
  • 3. Rise and Run • The rise can be positive or negative • A positive rise corresponds to a vertical change up • A negative rise corresponds to a vertical change down • The run can be positive or negative • A positive run corresponds to a horizontal change right • A negative run corresponds to a horizontal change left
  • 5. Try This Problem • Pause the presentation • Compute the slope of the line in the picture below • A Video Solution that demonstrates how to solve this problem is available at this site
  • 7. Consider Example 2 • Find the slope of the line passing through the points (−3, −5) and (2, 1) • Solution: