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This worksheet helps you practice finding the slope of a line by extending a table, determining the rate of change, finding the y-intercept, and writing the equation. Learn about different types of slopes and how to solve examples.

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Do Now

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  1. Do Now From this table below, extend the table to zero, determine rate of change, y-intercept, and equation 4.4 - Finding Slope

  2. Worksheet Key From this table below, extend the table to zero, determine rate of change, y-intercept, and equation 4.4 - Finding Slope

  3. Finding Slope and Rate of Change Chapter 3.4 4.4 - Finding Slope

  4. Definitions • Ratio:A comparison of two numbers. • Linear Equations are equations that the highest power is raised to one. • Slope is a non-vertical line between two points • Rise is the vertical movement • Run is the horizontal movement 4.4 - Finding Slope

  5. Slope Equation Slope equation: Rewrite it as: 4.4 - Finding Slope

  6. Type of Slopes 4.4 - Finding Slope

  7. Type of Slopes What type of slopes are these graphs? Negative Slope Positive Slope 4.4 - Finding Slope

  8. Type of Slopes What type of slope is this graph? Zero Slope Horizontal Line 4.4 - Finding Slope

  9. Type of Slopes What type of slope is this graph? No Slope/Undefined Vertical Line 4.4 - Finding Slope

  10. Video 4.4 - Finding Slope

  11. Steps • When given two points, create a t-chart • Subtract the Y-intercept first from top to bottom • Subtract the X-intercept first from top to bottom • Reduce the fraction Equation: Known as: 4.4 - Finding Slope

  12. Example 1 What is the slope of this table? Will it rise, fall, horizontal, or vertical? 3 – (5) = –2 10 – (12) = –2 5 – (6) = –1 12 – (13) = –1 6 – (10) = –4 13 – (17) = –4 4.4 - Finding Slope

  13. Example 2 What is the slope of these two points, (–1, 3) and (2, –2)? Will it rise, fall, horizontal, or vertical? Create a t-chart & solve for slope –1 – (2) = –3 3 – (–2) = 5 4.4 - Finding Slope

  14. Example 2 What is the slope of these two points, (–1, 3) and (2, –2)? Will it rise, fall, horizontal, or vertical? 4.4 - Finding Slope

  15. Example 3 What is the slope of these two points, (6, –4) and (2, –2)? Will it rise, fall, horizontal, or vertical? 4.4 - Finding Slope

  16. Your Turn What is the slope of these two points, (2, 3) and (–4, 5)? Will it rise, fall, horizontal, or vertical? 4.4 - Finding Slope

  17. Zero versus Undefined 4.4 - Finding Slope

  18. Undefined Slope 4.4 - Finding Slope

  19. Example 4 What is the slope of these two points, (–2, 4) and (4, 4)? Will it rise, fall, horizontal, or vertical? Create a t-chart & solve for slope –2 – (4) = –6 4 – (4) = 0 4.4 - Finding Slope

  20. Example 5 What is the slope of these two points, (3, 5) and (3, 1)? Will it rise, fall, horizontal, or vertical? 4.4 - Finding Slope

  21. Your Turn What is the slope of these two points, (0, 4) and (–3, 4)? Will it rise, fall, horizontal, or vertical? 4.4 - Finding Slope

  22. Example 6 Find the slope of the line drawn below: 4.4 - Finding Slope

  23. Example 7 Find the slope of the line drawn below: 4.4 - Finding Slope

  24. Example 8 Find the slope of the line drawn below: 4.4 - Finding Slope

  25. Your Turn Find the slope of the line drawn below: 4.4 - Finding Slope

  26. Assignment Worksheet 4.4 - Finding Slope

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