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Understanding Slope: Definition, Formula, and Graphing Techniques

This video provides a comprehensive overview of the concept of slope in mathematics. You'll learn what slope represents in the context of a line, including its synonyms and the variable used to denote it. The video covers the formula for calculating slope, and walks through the process of graphing a line using its slope and y-intercept. Additionally, viewers will see practical examples of finding slope from equations and given points. Perfect for students looking to solidify their understanding of slopes in linear equations.

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Understanding Slope: Definition, Formula, and Graphing Techniques

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Presentation Transcript

  1. Show Roller Coaster Video

  2. The Slope of a Line

  3. What do I know about slope? Synonym for slope: _________________ Variable used to represent slope:_______ What is the formula used for slope:_____ How do I graph the slope of a line?

  4. Slope: Steepness Steepness = Inclinacion

  5. Slope: Steepness Steepness = Inclinacion

  6. Variable used to represent slope of a line m

  7. Slope-Intercept Form

  8. Write the formula 5 times, as you write it say it aloud.

  9. Identify the slope and y-intercept m = m = b = b = y = 4x - 4 y = -2x + 5

  10. Example: Find the slope of the line. Identify the y-intercept 3x - 5y = 5

  11. YOU DO: Find the slope of the line. Identify the y-intercept 3x - 5y = 10

  12. Finding the slope of a line given 2 pairs of pointsSee page 226 from textbook (3, 4), (5, 7)

  13. Finding the slope of a line given 2 pairs of pointsSee page 226 from textbook (-1, 2), (3, 2)

  14. Finding the slope of a line given 2 pairs of pointsSee page 226 from textbook (0, 0), (3, -3)

  15. Finding the slope of a line given 2 pairs of pointsSee page 226 from textbook (2, 4), (2, 1)

  16. Types of Lines by Slopes

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